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Finding the Fourth Proportional to 8,937.72, 13,404.42 and 5,765.49

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Solution

The fourth proportional to 8,937.72, 13,404.42 and 5,765.49 is: 8,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.72 : 13,404.42 = 5,765.49 : x
  2. Step 2: Convert to fraction form
    8,937.72/13,404.42 = 5,765.49/x
  3. Step 3: Cross multiply
    8,937.72x = 13,404.42 × 5,765.49
  4. Step 4: Simplify right side
    8,937.72x = 77,283,049.47
  5. Step 5: Solve for x
    x = 77,283,049.47/8,937.72
  6. Step 6: Final answer
    x = 8,646.84

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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.