According to TVByTheNumbers (which wikipedia uses as a source), the season 3 finale of Duck Dynasty that aired this week registered 9.63 million US viewers. Making it the most watched Duck Dynasty episode every, breaking the previous record by just over 1 million viewers. The Season 3 premier had 8.62 million viewers.
Duck Dynasty has concluded this season as the most watched cable program, and the best original show in AE’s history. The cast is fighting for a pay raise (much deserved in my opinion), but you can guarantee we’ll see a Season 4 in the near future.