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Finding the Fourth Proportional to 9,508.43, 13,122.12 and 5,475.86

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Solution

The fourth proportional to 9,508.43, 13,122.12 and 5,475.86 is: 7,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.43 : 13,122.12 = 5,475.86 : x
  2. Step 2: Convert to fraction form
    9,508.43/13,122.12 = 5,475.86/x
  3. Step 3: Cross multiply
    9,508.43x = 13,122.12 × 5,475.86
  4. Step 4: Simplify right side
    9,508.43x = 71,854,826.41
  5. Step 5: Solve for x
    x = 71,854,826.41/9,508.43
  6. Step 6: Final answer
    x = 7,556.96

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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.