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Finding the Fourth Proportional to 9,489.32, 14,234.50 and 3,943.22

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Solution

The fourth proportional to 9,489.32, 14,234.50 and 3,943.22 is: 5,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.32 : 14,234.50 = 3,943.22 : x
  2. Step 2: Convert to fraction form
    9,489.32/14,234.50 = 3,943.22/x
  3. Step 3: Cross multiply
    9,489.32x = 14,234.50 × 3,943.22
  4. Step 4: Simplify right side
    9,489.32x = 56,129,765.09
  5. Step 5: Solve for x
    x = 56,129,765.09/9,489.32
  6. Step 6: Final answer
    x = 5,915.05

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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.