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Finding the Fourth Proportional to 9,456.32, 14,176.24 and 3,906.20

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Solution

The fourth proportional to 9,456.32, 14,176.24 and 3,906.20 is: 5,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.32 : 14,176.24 = 3,906.20 : x
  2. Step 2: Convert to fraction form
    9,456.32/14,176.24 = 3,906.20/x
  3. Step 3: Cross multiply
    9,456.32x = 14,176.24 × 3,906.20
  4. Step 4: Simplify right side
    9,456.32x = 55,375,228.69
  5. Step 5: Solve for x
    x = 55,375,228.69/9,456.32
  6. Step 6: Final answer
    x = 5,855.90

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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.