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Finding the Fourth Proportional to 9,154.80, 12,635.28 and 5,175.90

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Solution

The fourth proportional to 9,154.80, 12,635.28 and 5,175.90 is: 7,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.80 : 12,635.28 = 5,175.90 : x
  2. Step 2: Convert to fraction form
    9,154.80/12,635.28 = 5,175.90/x
  3. Step 3: Cross multiply
    9,154.80x = 12,635.28 × 5,175.90
  4. Step 4: Simplify right side
    9,154.80x = 65,398,945.75
  5. Step 5: Solve for x
    x = 65,398,945.75/9,154.80
  6. Step 6: Final answer
    x = 7,143.68

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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.