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Finding the Fourth Proportional to 9,167.88, 13,757.25 and 3,621.78

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Solution

The fourth proportional to 9,167.88, 13,757.25 and 3,621.78 is: 5,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.88 : 13,757.25 = 3,621.78 : x
  2. Step 2: Convert to fraction form
    9,167.88/13,757.25 = 3,621.78/x
  3. Step 3: Cross multiply
    9,167.88x = 13,757.25 × 3,621.78
  4. Step 4: Simplify right side
    9,167.88x = 49,825,732.91
  5. Step 5: Solve for x
    x = 49,825,732.91/9,167.88
  6. Step 6: Final answer
    x = 5,434.82

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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.