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Finding the Fourth Proportional to 36,864.57, 55,296.84 and 9,162.57

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Solution

The fourth proportional to 36,864.57, 55,296.84 and 9,162.57 is: 13,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864.57 : 55,296.84 = 9,162.57 : x
  2. Step 2: Convert to fraction form
    36,864.57/55,296.84 = 9,162.57/x
  3. Step 3: Cross multiply
    36,864.57x = 55,296.84 × 9,162.57
  4. Step 4: Simplify right side
    36,864.57x = 506,661,167.28
  5. Step 5: Solve for x
    x = 506,661,167.28/36,864.57
  6. Step 6: Final answer
    x = 13,743.85

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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.