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Finding the Fourth Proportional to 6,494.42, 9,737.48 and 3,861.23

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Solution

The fourth proportional to 6,494.42, 9,737.48 and 3,861.23 is: 5,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.42 : 9,737.48 = 3,861.23 : x
  2. Step 2: Convert to fraction form
    6,494.42/9,737.48 = 3,861.23/x
  3. Step 3: Cross multiply
    6,494.42x = 9,737.48 × 3,861.23
  4. Step 4: Simplify right side
    6,494.42x = 37,598,581.91
  5. Step 5: Solve for x
    x = 37,598,581.91/6,494.42
  6. Step 6: Final answer
    x = 5,789.37

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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.