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Finding the Fourth Proportional to 6,832.80, 9,421.92 and 5,257.44

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Solution

The fourth proportional to 6,832.80, 9,421.92 and 5,257.44 is: 7,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.80 : 9,421.92 = 5,257.44 : x
  2. Step 2: Convert to fraction form
    6,832.80/9,421.92 = 5,257.44/x
  3. Step 3: Cross multiply
    6,832.80x = 9,421.92 × 5,257.44
  4. Step 4: Simplify right side
    6,832.80x = 49,535,179.08
  5. Step 5: Solve for x
    x = 49,535,179.08/6,832.80
  6. Step 6: Final answer
    x = 7,249.62

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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.