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Finding the Fourth Proportional to 9,694.20, 13,380 and 6,337.56

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Solution

The fourth proportional to 9,694.20, 13,380 and 6,337.56 is: 8,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.20 : 13,380 = 6,337.56 : x
  2. Step 2: Convert to fraction form
    9,694.20/13,380 = 6,337.56/x
  3. Step 3: Cross multiply
    9,694.20x = 13,380 × 6,337.56
  4. Step 4: Simplify right side
    9,694.20x = 84,796,552.80
  5. Step 5: Solve for x
    x = 84,796,552.80/9,694.20
  6. Step 6: Final answer
    x = 8,747.14

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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.