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Finding the Fourth Proportional to 9,489.88, 14,234.92 and 6,223.68

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Solution

The fourth proportional to 9,489.88, 14,234.92 and 6,223.68 is: 9,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.88 : 14,234.92 = 6,223.68 : x
  2. Step 2: Convert to fraction form
    9,489.88/14,234.92 = 6,223.68/x
  3. Step 3: Cross multiply
    9,489.88x = 14,234.92 × 6,223.68
  4. Step 4: Simplify right side
    9,489.88x = 88,593,586.91
  5. Step 5: Solve for x
    x = 88,593,586.91/9,489.88
  6. Step 6: Final answer
    x = 9,335.59

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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.