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Finding the Fourth Proportional to 7,227.78, 9,974.28 and 3,915.78

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Solution

The fourth proportional to 7,227.78, 9,974.28 and 3,915.78 is: 5,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.78 : 9,974.28 = 3,915.78 : x
  2. Step 2: Convert to fraction form
    7,227.78/9,974.28 = 3,915.78/x
  3. Step 3: Cross multiply
    7,227.78x = 9,974.28 × 3,915.78
  4. Step 4: Simplify right side
    7,227.78x = 39,057,086.14
  5. Step 5: Solve for x
    x = 39,057,086.14/7,227.78
  6. Step 6: Final answer
    x = 5,403.75

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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.