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Finding the Fourth Proportional to 6,314.10, 9,469.07 and 2,096.38

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Solution

The fourth proportional to 6,314.10, 9,469.07 and 2,096.38 is: 3,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.10 : 9,469.07 = 2,096.38 : x
  2. Step 2: Convert to fraction form
    6,314.10/9,469.07 = 2,096.38/x
  3. Step 3: Cross multiply
    6,314.10x = 9,469.07 × 2,096.38
  4. Step 4: Simplify right side
    6,314.10x = 19,850,768.97
  5. Step 5: Solve for x
    x = 19,850,768.97/6,314.10
  6. Step 6: Final answer
    x = 3,143.88

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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.