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Finding the Fourth Proportional to 9,411.62, 12,987.31 and 5,161.98

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Solution

The fourth proportional to 9,411.62, 12,987.31 and 5,161.98 is: 7,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.62 : 12,987.31 = 5,161.98 : x
  2. Step 2: Convert to fraction form
    9,411.62/12,987.31 = 5,161.98/x
  3. Step 3: Cross multiply
    9,411.62x = 12,987.31 × 5,161.98
  4. Step 4: Simplify right side
    9,411.62x = 67,040,234.47
  5. Step 5: Solve for x
    x = 67,040,234.47/9,411.62
  6. Step 6: Final answer
    x = 7,123.13

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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.