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Finding the Fourth Proportional to 6,286.91, 9,431.72 and 2,126.72

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Solution

The fourth proportional to 6,286.91, 9,431.72 and 2,126.72 is: 3,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.91 : 9,431.72 = 2,126.72 : x
  2. Step 2: Convert to fraction form
    6,286.91/9,431.72 = 2,126.72/x
  3. Step 3: Cross multiply
    6,286.91x = 9,431.72 × 2,126.72
  4. Step 4: Simplify right side
    6,286.91x = 20,058,616.92
  5. Step 5: Solve for x
    x = 20,058,616.92/6,286.91
  6. Step 6: Final answer
    x = 3,190.54

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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.