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Finding the Fourth Proportional to 9,702.38, 14,553.62 and 3,859.04

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Solution

The fourth proportional to 9,702.38, 14,553.62 and 3,859.04 is: 5,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.38 : 14,553.62 = 3,859.04 : x
  2. Step 2: Convert to fraction form
    9,702.38/14,553.62 = 3,859.04/x
  3. Step 3: Cross multiply
    9,702.38x = 14,553.62 × 3,859.04
  4. Step 4: Simplify right side
    9,702.38x = 56,162,909.66
  5. Step 5: Solve for x
    x = 56,162,909.66/9,702.38
  6. Step 6: Final answer
    x = 5,788.57

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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.