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Finding the Fourth Proportional to 6,964.49, 9,609.32 and 3,939.66

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Solution

The fourth proportional to 6,964.49, 9,609.32 and 3,939.66 is: 5,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.49 : 9,609.32 = 3,939.66 : x
  2. Step 2: Convert to fraction form
    6,964.49/9,609.32 = 3,939.66/x
  3. Step 3: Cross multiply
    6,964.49x = 9,609.32 × 3,939.66
  4. Step 4: Simplify right side
    6,964.49x = 37,857,463.48
  5. Step 5: Solve for x
    x = 37,857,463.48/6,964.49
  6. Step 6: Final answer
    x = 5,435.78

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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.