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Finding the Fourth Proportional to 9,452.62, 14,189.22 and 5,508.16

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Solution

The fourth proportional to 9,452.62, 14,189.22 and 5,508.16 is: 8,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.62 : 14,189.22 = 5,508.16 : x
  2. Step 2: Convert to fraction form
    9,452.62/14,189.22 = 5,508.16/x
  3. Step 3: Cross multiply
    9,452.62x = 14,189.22 × 5,508.16
  4. Step 4: Simplify right side
    9,452.62x = 78,156,494.04
  5. Step 5: Solve for x
    x = 78,156,494.04/9,452.62
  6. Step 6: Final answer
    x = 8,268.24

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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.