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Finding the Fourth Proportional to 6,149.92, 9,261.36 and 5,540.80

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Solution

The fourth proportional to 6,149.92, 9,261.36 and 5,540.80 is: 8,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.92 : 9,261.36 = 5,540.80 : x
  2. Step 2: Convert to fraction form
    6,149.92/9,261.36 = 5,540.80/x
  3. Step 3: Cross multiply
    6,149.92x = 9,261.36 × 5,540.80
  4. Step 4: Simplify right side
    6,149.92x = 51,315,343.49
  5. Step 5: Solve for x
    x = 51,315,343.49/6,149.92
  6. Step 6: Final answer
    x = 8,344.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.