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Finding the Fourth Proportional to 6,000.20, 8,996.03 and 2,299.30

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Solution

The fourth proportional to 6,000.20, 8,996.03 and 2,299.30 is: 3,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.20 : 8,996.03 = 2,299.30 : x
  2. Step 2: Convert to fraction form
    6,000.20/8,996.03 = 2,299.30/x
  3. Step 3: Cross multiply
    6,000.20x = 8,996.03 × 2,299.30
  4. Step 4: Simplify right side
    6,000.20x = 20,684,571.78
  5. Step 5: Solve for x
    x = 20,684,571.78/6,000.20
  6. Step 6: Final answer
    x = 3,447.31

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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.