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Finding the Fourth Proportional to 9,321.10, 12,864.96 and 5,344.90

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Solution

The fourth proportional to 9,321.10, 12,864.96 and 5,344.90 is: 7,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.10 : 12,864.96 = 5,344.90 : x
  2. Step 2: Convert to fraction form
    9,321.10/12,864.96 = 5,344.90/x
  3. Step 3: Cross multiply
    9,321.10x = 12,864.96 × 5,344.90
  4. Step 4: Simplify right side
    9,321.10x = 68,761,924.70
  5. Step 5: Solve for x
    x = 68,761,924.70/9,321.10
  6. Step 6: Final answer
    x = 7,377.02

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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.