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Finding the Fourth Proportional to 6,739.20, 9,331.20 and 6,220.80

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Solution

The fourth proportional to 6,739.20, 9,331.20 and 6,220.80 is: 8,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.20 : 9,331.20 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    6,739.20/9,331.20 = 6,220.80/x
  3. Step 3: Cross multiply
    6,739.20x = 9,331.20 × 6,220.80
  4. Step 4: Simplify right side
    6,739.20x = 58,047,528.96
  5. Step 5: Solve for x
    x = 58,047,528.96/6,739.20
  6. Step 6: Final answer
    x = 8,613.42

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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.