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Finding the Fourth Proportional to 6,096.37, 9,142.67 and 2,200.27

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Solution

The fourth proportional to 6,096.37, 9,142.67 and 2,200.27 is: 3,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.37 : 9,142.67 = 2,200.27 : x
  2. Step 2: Convert to fraction form
    6,096.37/9,142.67 = 2,200.27/x
  3. Step 3: Cross multiply
    6,096.37x = 9,142.67 × 2,200.27
  4. Step 4: Simplify right side
    6,096.37x = 20,116,331.52
  5. Step 5: Solve for x
    x = 20,116,331.52/6,096.37
  6. Step 6: Final answer
    x = 3,299.72

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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.