In a competitive league, Team $P$ and Team $Q$ play games where there is always a winner and a loser. Team $P$ has a winning ratio of $\frac{1}{3}$ of its games, while Team $Q$ has won $\frac{3}{7}$ of its games. If Team $Q$ has won 4 more games and lost 4 more games than Team $P$, how many games has Team $P$ played?