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Finding the Fourth Proportional to 6,496.38, 9,738.09 and 3,204.54

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Solution

The fourth proportional to 6,496.38, 9,738.09 and 3,204.54 is: 4,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.38 : 9,738.09 = 3,204.54 : x
  2. Step 2: Convert to fraction form
    6,496.38/9,738.09 = 3,204.54/x
  3. Step 3: Cross multiply
    6,496.38x = 9,738.09 × 3,204.54
  4. Step 4: Simplify right side
    6,496.38x = 31,206,098.93
  5. Step 5: Solve for x
    x = 31,206,098.93/6,496.38
  6. Step 6: Final answer
    x = 4,803.61

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