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Finding the Fourth Proportional to 6,439.35, 9,650.24 and 3,941.38

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Solution

The fourth proportional to 6,439.35, 9,650.24 and 3,941.38 is: 5,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.35 : 9,650.24 = 3,941.38 : x
  2. Step 2: Convert to fraction form
    6,439.35/9,650.24 = 3,941.38/x
  3. Step 3: Cross multiply
    6,439.35x = 9,650.24 × 3,941.38
  4. Step 4: Simplify right side
    6,439.35x = 38,035,297.21
  5. Step 5: Solve for x
    x = 38,035,297.21/6,439.35
  6. Step 6: Final answer
    x = 5,906.70

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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.