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Finding the Fourth Proportional to 6,411.98, 9,614.09 and 3,121.78

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Solution

The fourth proportional to 6,411.98, 9,614.09 and 3,121.78 is: 4,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.98 : 9,614.09 = 3,121.78 : x
  2. Step 2: Convert to fraction form
    6,411.98/9,614.09 = 3,121.78/x
  3. Step 3: Cross multiply
    6,411.98x = 9,614.09 × 3,121.78
  4. Step 4: Simplify right side
    6,411.98x = 30,013,073.88
  5. Step 5: Solve for x
    x = 30,013,073.88/6,411.98
  6. Step 6: Final answer
    x = 4,680.78

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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.