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Finding the Fourth Proportional to 8,940.78, 12,338.82 and 5,164.65

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Solution

The fourth proportional to 8,940.78, 12,338.82 and 5,164.65 is: 7,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.78 : 12,338.82 = 5,164.65 : x
  2. Step 2: Convert to fraction form
    8,940.78/12,338.82 = 5,164.65/x
  3. Step 3: Cross multiply
    8,940.78x = 12,338.82 × 5,164.65
  4. Step 4: Simplify right side
    8,940.78x = 63,725,686.71
  5. Step 5: Solve for x
    x = 63,725,686.71/8,940.78
  6. Step 6: Final answer
    x = 7,127.53

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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.