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Finding the Fourth Proportional to 9,674.27, 13,332.41 and 7,546.43

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Solution

The fourth proportional to 9,674.27, 13,332.41 and 7,546.43 is: 10,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.27 : 13,332.41 = 7,546.43 : x
  2. Step 2: Convert to fraction form
    9,674.27/13,332.41 = 7,546.43/x
  3. Step 3: Cross multiply
    9,674.27x = 13,332.41 × 7,546.43
  4. Step 4: Simplify right side
    9,674.27x = 100,612,084.33
  5. Step 5: Solve for x
    x = 100,612,084.33/9,674.27
  6. Step 6: Final answer
    x = 10,399.97

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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.