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Finding the Fourth Proportional to 6,414.75, 8,851.28 and 4,286.86

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Solution

The fourth proportional to 6,414.75, 8,851.28 and 4,286.86 is: 5,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.75 : 8,851.28 = 4,286.86 : x
  2. Step 2: Convert to fraction form
    6,414.75/8,851.28 = 4,286.86/x
  3. Step 3: Cross multiply
    6,414.75x = 8,851.28 × 4,286.86
  4. Step 4: Simplify right side
    6,414.75x = 37,944,154.62
  5. Step 5: Solve for x
    x = 37,944,154.62/6,414.75
  6. Step 6: Final answer
    x = 5,915.14

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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.