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Finding the Fourth Proportional to 6,201.83, 9,311.97 and 6,091.11

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Solution

The fourth proportional to 6,201.83, 9,311.97 and 6,091.11 is: 9,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.83 : 9,311.97 = 6,091.11 : x
  2. Step 2: Convert to fraction form
    6,201.83/9,311.97 = 6,091.11/x
  3. Step 3: Cross multiply
    6,201.83x = 9,311.97 × 6,091.11
  4. Step 4: Simplify right side
    6,201.83x = 56,720,233.59
  5. Step 5: Solve for x
    x = 56,720,233.59/6,201.83
  6. Step 6: Final answer
    x = 9,145.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.