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Finding the Fourth Proportional to 9,167.41, 13,753.41 and 5,006.31

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Solution

The fourth proportional to 9,167.41, 13,753.41 and 5,006.31 is: 7,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.41 : 13,753.41 = 5,006.31 : x
  2. Step 2: Convert to fraction form
    9,167.41/13,753.41 = 5,006.31/x
  3. Step 3: Cross multiply
    9,167.41x = 13,753.41 × 5,006.31
  4. Step 4: Simplify right side
    9,167.41x = 68,853,834.02
  5. Step 5: Solve for x
    x = 68,853,834.02/9,167.41
  6. Step 6: Final answer
    x = 7,510.72

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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.