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Finding the Fourth Proportional to 9,149.71, 12,626.53 and 5,171.61

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Solution

The fourth proportional to 9,149.71, 12,626.53 and 5,171.61 is: 7,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.71 : 12,626.53 = 5,171.61 : x
  2. Step 2: Convert to fraction form
    9,149.71/12,626.53 = 5,171.61/x
  3. Step 3: Cross multiply
    9,149.71x = 12,626.53 × 5,171.61
  4. Step 4: Simplify right side
    9,149.71x = 65,299,488.81
  5. Step 5: Solve for x
    x = 65,299,488.81/9,149.71
  6. Step 6: Final answer
    x = 7,136.78

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