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Finding the Fourth Proportional to 6,109.92, 9,201.04 and 5,500.80

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Solution

The fourth proportional to 6,109.92, 9,201.04 and 5,500.80 is: 8,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.92 : 9,201.04 = 5,500.80 : x
  2. Step 2: Convert to fraction form
    6,109.92/9,201.04 = 5,500.80/x
  3. Step 3: Cross multiply
    6,109.92x = 9,201.04 × 5,500.80
  4. Step 4: Simplify right side
    6,109.92x = 50,613,080.83
  5. Step 5: Solve for x
    x = 50,613,080.83/6,109.92
  6. Step 6: Final answer
    x = 8,283.76

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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.