"I think the job we've done over the last month has been outstanding. It hasn't been easy despite the 4-0, we've had to work our backsides off," Clarke said.
"We certainly should be proud of what we've done."
The end came when spinner Nathan Lyon (4-63) dismissed Umesh Yadav caught behind for one, condemning India to a humiliating eighth successive overseas test defeat after last year's 4-0 whitewash in England.
The series defeat in England saw India relinquish the top spot in the test world rankings but they had still arrived Down Under confident they could claim a first series triumph in Australia.
Image: Australia's Peter Siddle, right, and Ricky Ponting celebrate their victory over India after their cricket test match in Adelaide, Australia, Saturday, Jan. 28, 2012.