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Finding the Fourth Proportional to 8,940.97, 12,339.10 and 5,164.83

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Solution

The fourth proportional to 8,940.97, 12,339.10 and 5,164.83 is: 7,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.97 : 12,339.10 = 5,164.83 : x
  2. Step 2: Convert to fraction form
    8,940.97/12,339.10 = 5,164.83/x
  3. Step 3: Cross multiply
    8,940.97x = 12,339.10 × 5,164.83
  4. Step 4: Simplify right side
    8,940.97x = 63,729,353.85
  5. Step 5: Solve for x
    x = 63,729,353.85/8,940.97
  6. Step 6: Final answer
    x = 7,127.79

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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.