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Finding the Fourth Proportional to 9,451.76, 14,177.76 and 5,291.12

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Solution

The fourth proportional to 9,451.76, 14,177.76 and 5,291.12 is: 7,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.76 : 14,177.76 = 5,291.12 : x
  2. Step 2: Convert to fraction form
    9,451.76/14,177.76 = 5,291.12/x
  3. Step 3: Cross multiply
    9,451.76x = 14,177.76 × 5,291.12
  4. Step 4: Simplify right side
    9,451.76x = 75,016,229.49
  5. Step 5: Solve for x
    x = 75,016,229.49/9,451.76
  6. Step 6: Final answer
    x = 7,936.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.