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Finding the Fourth Proportional to 9,149.22, 12,625.85 and 5,171.62

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Solution

The fourth proportional to 9,149.22, 12,625.85 and 5,171.62 is: 7,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.22 : 12,625.85 = 5,171.62 : x
  2. Step 2: Convert to fraction form
    9,149.22/12,625.85 = 5,171.62/x
  3. Step 3: Cross multiply
    9,149.22x = 12,625.85 × 5,171.62
  4. Step 4: Simplify right side
    9,149.22x = 65,296,098.38
  5. Step 5: Solve for x
    x = 65,296,098.38/9,149.22
  6. Step 6: Final answer
    x = 7,136.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.