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Finding the Fourth Proportional to 9,167.87, 13,753.71 and 4,167.86

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Solution

The fourth proportional to 9,167.87, 13,753.71 and 4,167.86 is: 6,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.87 : 13,753.71 = 4,167.86 : x
  2. Step 2: Convert to fraction form
    9,167.87/13,753.71 = 4,167.86/x
  3. Step 3: Cross multiply
    9,167.87x = 13,753.71 × 4,167.86
  4. Step 4: Simplify right side
    9,167.87x = 57,323,468.99
  5. Step 5: Solve for x
    x = 57,323,468.99/9,167.87
  6. Step 6: Final answer
    x = 6,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.