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Finding the Fourth Proportional to 6,832.56, 9,426.80 and 4,179.36

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Solution

The fourth proportional to 6,832.56, 9,426.80 and 4,179.36 is: 5,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.56 : 9,426.80 = 4,179.36 : x
  2. Step 2: Convert to fraction form
    6,832.56/9,426.80 = 4,179.36/x
  3. Step 3: Cross multiply
    6,832.56x = 9,426.80 × 4,179.36
  4. Step 4: Simplify right side
    6,832.56x = 39,397,990.85
  5. Step 5: Solve for x
    x = 39,397,990.85/6,832.56
  6. Step 6: Final answer
    x = 5,766.21

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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.