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Finding the Fourth Proportional to 6,138.64, 8,471.28 and 3,344.14

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Solution

The fourth proportional to 6,138.64, 8,471.28 and 3,344.14 is: 4,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.64 : 8,471.28 = 3,344.14 : x
  2. Step 2: Convert to fraction form
    6,138.64/8,471.28 = 3,344.14/x
  3. Step 3: Cross multiply
    6,138.64x = 8,471.28 × 3,344.14
  4. Step 4: Simplify right side
    6,138.64x = 28,329,146.30
  5. Step 5: Solve for x
    x = 28,329,146.30/6,138.64
  6. Step 6: Final answer
    x = 4,614.89

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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.