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Finding the Fourth Proportional to 8,940.27, 12,338.13 and 5,164.14

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Solution

The fourth proportional to 8,940.27, 12,338.13 and 5,164.14 is: 7,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.27 : 12,338.13 = 5,164.14 : x
  2. Step 2: Convert to fraction form
    8,940.27/12,338.13 = 5,164.14/x
  3. Step 3: Cross multiply
    8,940.27x = 12,338.13 × 5,164.14
  4. Step 4: Simplify right side
    8,940.27x = 63,715,830.66
  5. Step 5: Solve for x
    x = 63,715,830.66/8,940.27
  6. Step 6: Final answer
    x = 7,126.84

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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.