Joel Tenenbaum, 25, was taken to court on charges of copyright infringement in 2009 for downloading and distributing 31 songs two years earlier.
He was just 16 years old at the time, but a judge in Massachusetts has now ruled that the 2009 jury's penalty should stand.
Tenenbaum was informed of the legal action against him in 2007 when a letter arrived at his address demanding $5,250 (£3,319) for the seven songs he downloaded. His counter offer of $500 (£316) - which was all he could afford at the time - was rejected.
When the case went to court for the first time that year, Tenenbaum refused to settle and a new trial date was set for 2009. The US record labels emerged victorious, with the jury handing out the maximum fine legally permitted.
The Recording Industry Association of America (RIAA) has welcomed the latest development, saying that it is "pleased" with the judge's decision, CNET reports.
Tenenbaum admitted in court to downloading and sharing more than 100 songs, and has turned down donations from supporters offering to help out with the fine.