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Finding the Fourth Proportional to 6,780.43, 9,357.15 and 3,796.12

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Solution

The fourth proportional to 6,780.43, 9,357.15 and 3,796.12 is: 5,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.43 : 9,357.15 = 3,796.12 : x
  2. Step 2: Convert to fraction form
    6,780.43/9,357.15 = 3,796.12/x
  3. Step 3: Cross multiply
    6,780.43x = 9,357.15 × 3,796.12
  4. Step 4: Simplify right side
    6,780.43x = 35,520,864.26
  5. Step 5: Solve for x
    x = 35,520,864.26/6,780.43
  6. Step 6: Final answer
    x = 5,238.73

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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.