Lucy, a scheduler at Mangel$-$Wurzel Transport, gets a call from a regular customer needing to move $61\mathrm{.}4m^3$ of rock and soil, which Lucy knows from previous experience has an average density of $740k\frac{g}{m^3}.$ Lucy has available a dump truck with a capacity of $9m^3$ and a maximum safe load of $4900.kg.$

Calculate the number of trips the dump truck will have to make to haul the customer's load away.