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Finding the Fourth Proportional to 6,462.48, 8,915.22 and 3,942.57

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Solution

The fourth proportional to 6,462.48, 8,915.22 and 3,942.57 is: 5,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.48 : 8,915.22 = 3,942.57 : x
  2. Step 2: Convert to fraction form
    6,462.48/8,915.22 = 3,942.57/x
  3. Step 3: Cross multiply
    6,462.48x = 8,915.22 × 3,942.57
  4. Step 4: Simplify right side
    6,462.48x = 35,148,878.92
  5. Step 5: Solve for x
    x = 35,148,878.92/6,462.48
  6. Step 6: Final answer
    x = 5,438.91

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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.