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Finding the Fourth Proportional to 9,792.96, 14,689.98 and 6,352.08

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Solution

The fourth proportional to 9,792.96, 14,689.98 and 6,352.08 is: 9,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.96 : 14,689.98 = 6,352.08 : x
  2. Step 2: Convert to fraction form
    9,792.96/14,689.98 = 6,352.08/x
  3. Step 3: Cross multiply
    9,792.96x = 14,689.98 × 6,352.08
  4. Step 4: Simplify right side
    9,792.96x = 93,311,928.16
  5. Step 5: Solve for x
    x = 93,311,928.16/9,792.96
  6. Step 6: Final answer
    x = 9,528.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.