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Finding the Fourth Proportional to 6,205.27, 9,311.33 and 2,742.43

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Solution

The fourth proportional to 6,205.27, 9,311.33 and 2,742.43 is: 4,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.27 : 9,311.33 = 2,742.43 : x
  2. Step 2: Convert to fraction form
    6,205.27/9,311.33 = 2,742.43/x
  3. Step 3: Cross multiply
    6,205.27x = 9,311.33 × 2,742.43
  4. Step 4: Simplify right side
    6,205.27x = 25,535,657.02
  5. Step 5: Solve for x
    x = 25,535,657.02/6,205.27
  6. Step 6: Final answer
    x = 4,115.16

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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.