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Finding the Fourth Proportional to 6,100.92, 9,091.44 and 5,731.56

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Solution

The fourth proportional to 6,100.92, 9,091.44 and 5,731.56 is: 8,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.92 : 9,091.44 = 5,731.56 : x
  2. Step 2: Convert to fraction form
    6,100.92/9,091.44 = 5,731.56/x
  3. Step 3: Cross multiply
    6,100.92x = 9,091.44 × 5,731.56
  4. Step 4: Simplify right side
    6,100.92x = 52,108,133.85
  5. Step 5: Solve for x
    x = 52,108,133.85/6,100.92
  6. Step 6: Final answer
    x = 8,541.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.