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Finding the Fourth Proportional to 6,915.20, 9,542.87 and 3,771.38

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Solution

The fourth proportional to 6,915.20, 9,542.87 and 3,771.38 is: 5,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.20 : 9,542.87 = 3,771.38 : x
  2. Step 2: Convert to fraction form
    6,915.20/9,542.87 = 3,771.38/x
  3. Step 3: Cross multiply
    6,915.20x = 9,542.87 × 3,771.38
  4. Step 4: Simplify right side
    6,915.20x = 35,989,794.06
  5. Step 5: Solve for x
    x = 35,989,794.06/6,915.20
  6. Step 6: Final answer
    x = 5,204.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.