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Finding the Fourth Proportional to 6,400.86, 9,593.61 and 4,180.75

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Solution

The fourth proportional to 6,400.86, 9,593.61 and 4,180.75 is: 6,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.86 : 9,593.61 = 4,180.75 : x
  2. Step 2: Convert to fraction form
    6,400.86/9,593.61 = 4,180.75/x
  3. Step 3: Cross multiply
    6,400.86x = 9,593.61 × 4,180.75
  4. Step 4: Simplify right side
    6,400.86x = 40,108,445.35
  5. Step 5: Solve for x
    x = 40,108,445.35/6,400.86
  6. Step 6: Final answer
    x = 6,266.11

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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.