At Srinagar, starting at 9 a.m. on a certain day, snow began to fall at a rate of $1 \frac{1}{4}$ inches every two hours until 3 p.m. If there was already $2 \frac{1}{4}$ inches of snow on the ground at 9 a.m., how many inches of snow was on the ground at 3 p.m. that day?