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Finding the Fourth Proportional to 6,747.14, 9,311.16 and 3,914.76

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Solution

The fourth proportional to 6,747.14, 9,311.16 and 3,914.76 is: 5,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.14 : 9,311.16 = 3,914.76 : x
  2. Step 2: Convert to fraction form
    6,747.14/9,311.16 = 3,914.76/x
  3. Step 3: Cross multiply
    6,747.14x = 9,311.16 × 3,914.76
  4. Step 4: Simplify right side
    6,747.14x = 36,450,956.72
  5. Step 5: Solve for x
    x = 36,450,956.72/6,747.14
  6. Step 6: Final answer
    x = 5,402.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.