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Finding the Fourth Proportional to 6,201.45, 9,299.70 and 2,040.30

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Solution

The fourth proportional to 6,201.45, 9,299.70 and 2,040.30 is: 3,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.45 : 9,299.70 = 2,040.30 : x
  2. Step 2: Convert to fraction form
    6,201.45/9,299.70 = 2,040.30/x
  3. Step 3: Cross multiply
    6,201.45x = 9,299.70 × 2,040.30
  4. Step 4: Simplify right side
    6,201.45x = 18,974,177.91
  5. Step 5: Solve for x
    x = 18,974,177.91/6,201.45
  6. Step 6: Final answer
    x = 3,059.64

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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.