A block of mass m$=12\mathrm{.}35$ kg is resting against a spring at the bottom of a frictionless ramp that forms an angle$\backslash$theta $=10\mathrm{.}98\backslash$deg with the ground. The spring is initially compressed and has a length of s$=0\mathrm{.}43$ m with a spring constant k$=463\mathrm{.}10$ N$/$m$.$ After the block is launched, the block travels a distance of d$=3\mathrm{.}00$ m along the ramp from the tip of the relaxed spring, and its velocity is v$=5\mathrm{.}13$ m$/$s before coming to a stop. What is the length of the spring after the launch? Round your answer to $2$ decimal places.