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Finding the Fourth Proportional to 6,311.41, 9,472.97 and 3,193.61

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Solution

The fourth proportional to 6,311.41, 9,472.97 and 3,193.61 is: 4,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.41 : 9,472.97 = 3,193.61 : x
  2. Step 2: Convert to fraction form
    6,311.41/9,472.97 = 3,193.61/x
  3. Step 3: Cross multiply
    6,311.41x = 9,472.97 × 3,193.61
  4. Step 4: Simplify right side
    6,311.41x = 30,252,971.72
  5. Step 5: Solve for x
    x = 30,252,971.72/6,311.41
  6. Step 6: Final answer
    x = 4,793.38

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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.