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Finding the Fourth Proportional to 6,496.05, 9,728.60 and 4,148.78

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Solution

The fourth proportional to 6,496.05, 9,728.60 and 4,148.78 is: 6,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.05 : 9,728.60 = 4,148.78 : x
  2. Step 2: Convert to fraction form
    6,496.05/9,728.60 = 4,148.78/x
  3. Step 3: Cross multiply
    6,496.05x = 9,728.60 × 4,148.78
  4. Step 4: Simplify right side
    6,496.05x = 40,361,855.80
  5. Step 5: Solve for x
    x = 40,361,855.80/6,496.05
  6. Step 6: Final answer
    x = 6,213.29

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