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Finding the Fourth Proportional to 9,702.52, 14,553.68 and 4,151.16

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Solution

The fourth proportional to 9,702.52, 14,553.68 and 4,151.16 is: 6,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.52 : 14,553.68 = 4,151.16 : x
  2. Step 2: Convert to fraction form
    9,702.52/14,553.68 = 4,151.16/x
  3. Step 3: Cross multiply
    9,702.52x = 14,553.68 × 4,151.16
  4. Step 4: Simplify right side
    9,702.52x = 60,414,654.27
  5. Step 5: Solve for x
    x = 60,414,654.27/9,702.52
  6. Step 6: Final answer
    x = 6,226.70

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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.