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Finding the Fourth Proportional to 8,738.56, 13,093.24 and 3,800.80

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Solution

The fourth proportional to 8,738.56, 13,093.24 and 3,800.80 is: 5,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.56 : 13,093.24 = 3,800.80 : x
  2. Step 2: Convert to fraction form
    8,738.56/13,093.24 = 3,800.80/x
  3. Step 3: Cross multiply
    8,738.56x = 13,093.24 × 3,800.80
  4. Step 4: Simplify right side
    8,738.56x = 49,764,786.59
  5. Step 5: Solve for x
    x = 49,764,786.59/8,738.56
  6. Step 6: Final answer
    x = 5,694.85

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