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Finding the Fourth Proportional to 6,311.66, 9,418.85 and 5,543.78

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Solution

The fourth proportional to 6,311.66, 9,418.85 and 5,543.78 is: 8,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.66 : 9,418.85 = 5,543.78 : x
  2. Step 2: Convert to fraction form
    6,311.66/9,418.85 = 5,543.78/x
  3. Step 3: Cross multiply
    6,311.66x = 9,418.85 × 5,543.78
  4. Step 4: Simplify right side
    6,311.66x = 52,215,978.23
  5. Step 5: Solve for x
    x = 52,215,978.23/6,311.66
  6. Step 6: Final answer
    x = 8,272.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.