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Finding the Fourth Proportional to 6,494.76, 9,736.38 and 3,902.76

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Solution

The fourth proportional to 6,494.76, 9,736.38 and 3,902.76 is: 5,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.76 : 9,736.38 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    6,494.76/9,736.38 = 3,902.76/x
  3. Step 3: Cross multiply
    6,494.76x = 9,736.38 × 3,902.76
  4. Step 4: Simplify right side
    6,494.76x = 37,998,754.41
  5. Step 5: Solve for x
    x = 37,998,754.41/6,494.76
  6. Step 6: Final answer
    x = 5,850.68

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