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Finding the Fourth Proportional to 6,247.40, 8,621.42 and 3,414.80

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Solution

The fourth proportional to 6,247.40, 8,621.42 and 3,414.80 is: 4,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.40 : 8,621.42 = 3,414.80 : x
  2. Step 2: Convert to fraction form
    6,247.40/8,621.42 = 3,414.80/x
  3. Step 3: Cross multiply
    6,247.40x = 8,621.42 × 3,414.80
  4. Step 4: Simplify right side
    6,247.40x = 29,440,425.02
  5. Step 5: Solve for x
    x = 29,440,425.02/6,247.40
  6. Step 6: Final answer
    x = 4,712.43

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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.