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Finding the Fourth Proportional to 9,861.32, 13,600.91 and 6,324.86

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Solution

The fourth proportional to 9,861.32, 13,600.91 and 6,324.86 is: 8,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.32 : 13,600.91 = 6,324.86 : x
  2. Step 2: Convert to fraction form
    9,861.32/13,600.91 = 6,324.86/x
  3. Step 3: Cross multiply
    9,861.32x = 13,600.91 × 6,324.86
  4. Step 4: Simplify right side
    9,861.32x = 86,023,901.44
  5. Step 5: Solve for x
    x = 86,023,901.44/9,861.32
  6. Step 6: Final answer
    x = 8,723.36

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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.