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Finding the Fourth Proportional to 6,780.46, 9,357.07 and 3,949.48

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Solution

The fourth proportional to 6,780.46, 9,357.07 and 3,949.48 is: 5,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.46 : 9,357.07 = 3,949.48 : x
  2. Step 2: Convert to fraction form
    6,780.46/9,357.07 = 3,949.48/x
  3. Step 3: Cross multiply
    6,780.46x = 9,357.07 × 3,949.48
  4. Step 4: Simplify right side
    6,780.46x = 36,955,517.42
  5. Step 5: Solve for x
    x = 36,955,517.42/6,780.46
  6. Step 6: Final answer
    x = 5,450.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.