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Finding the Fourth Proportional to 6,142.56, 9,213.60 and 2,679.76

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Solution

The fourth proportional to 6,142.56, 9,213.60 and 2,679.76 is: 4,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.56 : 9,213.60 = 2,679.76 : x
  2. Step 2: Convert to fraction form
    6,142.56/9,213.60 = 2,679.76/x
  3. Step 3: Cross multiply
    6,142.56x = 9,213.60 × 2,679.76
  4. Step 4: Simplify right side
    6,142.56x = 24,690,236.74
  5. Step 5: Solve for x
    x = 24,690,236.74/6,142.56
  6. Step 6: Final answer
    x = 4,019.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.