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Finding the Fourth Proportional to 6,202.72, 9,311.97 and 4,020.58

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Solution

The fourth proportional to 6,202.72, 9,311.97 and 4,020.58 is: 6,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.72 : 9,311.97 = 4,020.58 : x
  2. Step 2: Convert to fraction form
    6,202.72/9,311.97 = 4,020.58/x
  3. Step 3: Cross multiply
    6,202.72x = 9,311.97 × 4,020.58
  4. Step 4: Simplify right side
    6,202.72x = 37,439,473.78
  5. Step 5: Solve for x
    x = 37,439,473.78/6,202.72
  6. Step 6: Final answer
    x = 6,035.98

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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.