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Finding the Fourth Proportional to 36,856.89, 55,285.71 and 9,154.89

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Solution

The fourth proportional to 36,856.89, 55,285.71 and 9,154.89 is: 13,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856.89 : 55,285.71 = 9,154.89 : x
  2. Step 2: Convert to fraction form
    36,856.89/55,285.71 = 9,154.89/x
  3. Step 3: Cross multiply
    36,856.89x = 55,285.71 × 9,154.89
  4. Step 4: Simplify right side
    36,856.89x = 506,134,593.62
  5. Step 5: Solve for x
    x = 506,134,593.62/36,856.89
  6. Step 6: Final answer
    x = 13,732.43

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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.