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Finding the Fourth Proportional to 6,204.57, 9,306.30 and 2,255.86

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Solution

The fourth proportional to 6,204.57, 9,306.30 and 2,255.86 is: 3,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.57 : 9,306.30 = 2,255.86 : x
  2. Step 2: Convert to fraction form
    6,204.57/9,306.30 = 2,255.86/x
  3. Step 3: Cross multiply
    6,204.57x = 9,306.30 × 2,255.86
  4. Step 4: Simplify right side
    6,204.57x = 20,993,709.92
  5. Step 5: Solve for x
    x = 20,993,709.92/6,204.57
  6. Step 6: Final answer
    x = 3,383.59

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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.