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Finding the Fourth Proportional to 6,535.62, 9,785.16 and 3,408.78

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Solution

The fourth proportional to 6,535.62, 9,785.16 and 3,408.78 is: 5,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.62 : 9,785.16 = 3,408.78 : x
  2. Step 2: Convert to fraction form
    6,535.62/9,785.16 = 3,408.78/x
  3. Step 3: Cross multiply
    6,535.62x = 9,785.16 × 3,408.78
  4. Step 4: Simplify right side
    6,535.62x = 33,355,457.70
  5. Step 5: Solve for x
    x = 33,355,457.70/6,535.62
  6. Step 6: Final answer
    x = 5,103.64

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