Ramiro currently owes $16,125 on his credit cards.
Ramiro has three credit cards with respective limits of $7,000, $5,000, and $9,500. He has utilized 75 percent of each card's limit. To find the total amount he owes, we calculate 75 percent of each credit card limit and sum these values.
For the $7,000 limit card, he owes $7,000 * 0.75 = $5,250.
For the $5,000 limit card, he owes $5,000 * 0.75 = $3,750.
For the $9,500 limit card, he owes $9,500 * 0.75 = $7,125.
Adding these amounts together, Ramiro currently owes a total of $5,250 + $3,750 + $7,125 = $16,125. Therefore, he owes a total of $16,125 on his credit cards.