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Finding the Fourth Proportional to 6,915.13, 9,542.82 and 3,771.25

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Solution

The fourth proportional to 6,915.13, 9,542.82 and 3,771.25 is: 5,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.13 : 9,542.82 = 3,771.25 : x
  2. Step 2: Convert to fraction form
    6,915.13/9,542.82 = 3,771.25/x
  3. Step 3: Cross multiply
    6,915.13x = 9,542.82 × 3,771.25
  4. Step 4: Simplify right side
    6,915.13x = 35,988,359.93
  5. Step 5: Solve for x
    x = 35,988,359.93/6,915.13
  6. Step 6: Final answer
    x = 5,204.29

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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.