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Finding the Fourth Proportional to 9,149.76, 12,625.98 and 5,171.24

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Solution

The fourth proportional to 9,149.76, 12,625.98 and 5,171.24 is: 7,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.76 : 12,625.98 = 5,171.24 : x
  2. Step 2: Convert to fraction form
    9,149.76/12,625.98 = 5,171.24/x
  3. Step 3: Cross multiply
    9,149.76x = 12,625.98 × 5,171.24
  4. Step 4: Simplify right side
    9,149.76x = 65,291,984.99
  5. Step 5: Solve for x
    x = 65,291,984.99/9,149.76
  6. Step 6: Final answer
    x = 7,135.92

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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.