Electing to bat, the Indians were dismissed for a paltry 196 in 45.4 overs but came back strongly to wrap up the tourists for 165 in 38.1 overs underlining their domination in the series.
Leg-spinner Piyush Chawla and left-arm tweaker Pragyan Ojha were the wreckers-in-chief taking three wickets each for India.
They used their guile, variations and change of pace to good effect keeping the youngsters from Down Under at bay after they started on a brisk note. Losing wickets at regular intervals they were 66 for four after 10 overs.
The Uttar Pradesh leg-spinner was especially impressive as he displayed his full repertoire of skills - the leg-break, googly and flipper - to keep the batsmen at tenterhooks.
Ojha got disconcerting bounce and turn from the wicket which was uneven and slower than the ones the teams encountered at Mohali and Dharamshala.
A 64-run partnership for the fifth wicket between Tom Cooper (45; 5x4, 1x6) and David Warner (73; 5x4, 3x6) appeared to put the Aussies firmly on the victory path but the former was caught at deep midwicket going for a big hit with the team total on 119.
Despite the asking rate under control, the visitors kept losing wickets and Warner, who had survived two stumping chances and a dropped catch, was left high and dry when the last wicket fell. Earlier, the less-than-impressive Indian batting had its most of the top order getting starts but failing to convert them to big scores.
S Anirudha, son of former India captain K Srikkanth, got the home side to a quick start with his 29 (5x4, 1x6), but he, along with other major batsmen, failed to come to terms with the pitch and was sent to the pavilion when seemingly set.
Scoring was not easy and the batsmen had to graft for their runs. Ali Murtaza (23) and Abu Nachim Ahmad (16) down the order added some valuable runs.
For the Australians, captain for the day Moises Henriques was the most successful bowler capturing three wickets. Jason Bird and Jack McNamara also chipped in with two each.
The visitors, who have rotated the captaincy on a match-by-match basis, took the experimentation a step further when assistant coach Matthew Mott took over the reins from Brian McFadyen for the final match of the series.