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Finding the Fourth Proportional to 6,474.33, 9,693.68 and 3,347.73

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Solution

The fourth proportional to 6,474.33, 9,693.68 and 3,347.73 is: 5,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.33 : 9,693.68 = 3,347.73 : x
  2. Step 2: Convert to fraction form
    6,474.33/9,693.68 = 3,347.73/x
  3. Step 3: Cross multiply
    6,474.33x = 9,693.68 × 3,347.73
  4. Step 4: Simplify right side
    6,474.33x = 32,451,806.61
  5. Step 5: Solve for x
    x = 32,451,806.61/6,474.33
  6. Step 6: Final answer
    x = 5,012.38

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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.