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Finding the Fourth Proportional to 6,361.53, 9,542.32 and 2,613.30

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Solution

The fourth proportional to 6,361.53, 9,542.32 and 2,613.30 is: 3,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.53 : 9,542.32 = 2,613.30 : x
  2. Step 2: Convert to fraction form
    6,361.53/9,542.32 = 2,613.30/x
  3. Step 3: Cross multiply
    6,361.53x = 9,542.32 × 2,613.30
  4. Step 4: Simplify right side
    6,361.53x = 24,936,944.86
  5. Step 5: Solve for x
    x = 24,936,944.86/6,361.53
  6. Step 6: Final answer
    x = 3,919.96

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Why These Related Problems?

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