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Finding the Fourth Proportional to 6,150.38, 9,227.42 and 2,865.43

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Solution

The fourth proportional to 6,150.38, 9,227.42 and 2,865.43 is: 4,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.38 : 9,227.42 = 2,865.43 : x
  2. Step 2: Convert to fraction form
    6,150.38/9,227.42 = 2,865.43/x
  3. Step 3: Cross multiply
    6,150.38x = 9,227.42 × 2,865.43
  4. Step 4: Simplify right side
    6,150.38x = 26,440,465.63
  5. Step 5: Solve for x
    x = 26,440,465.63/6,150.38
  6. Step 6: Final answer
    x = 4,299.00

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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.