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Finding the Fourth Proportional to 9,792.81, 14,689.19 and 3,552.81

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Solution

The fourth proportional to 9,792.81, 14,689.19 and 3,552.81 is: 5,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.81 : 14,689.19 = 3,552.81 : x
  2. Step 2: Convert to fraction form
    9,792.81/14,689.19 = 3,552.81/x
  3. Step 3: Cross multiply
    9,792.81x = 14,689.19 × 3,552.81
  4. Step 4: Simplify right side
    9,792.81x = 52,187,901.12
  5. Step 5: Solve for x
    x = 52,187,901.12/9,792.81
  6. Step 6: Final answer
    x = 5,329.21

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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.