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Finding the Fourth Proportional to 9,691.52, 14,535.20 and 3,118.24

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Solution

The fourth proportional to 9,691.52, 14,535.20 and 3,118.24 is: 4,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.52 : 14,535.20 = 3,118.24 : x
  2. Step 2: Convert to fraction form
    9,691.52/14,535.20 = 3,118.24/x
  3. Step 3: Cross multiply
    9,691.52x = 14,535.20 × 3,118.24
  4. Step 4: Simplify right side
    9,691.52x = 45,324,242.05
  5. Step 5: Solve for x
    x = 45,324,242.05/9,691.52
  6. Step 6: Final answer
    x = 4,676.69

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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.