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Finding the Fourth Proportional to 6,568.70, 9,856.84 and 3,646.76

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Solution

The fourth proportional to 6,568.70, 9,856.84 and 3,646.76 is: 5,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.70 : 9,856.84 = 3,646.76 : x
  2. Step 2: Convert to fraction form
    6,568.70/9,856.84 = 3,646.76/x
  3. Step 3: Cross multiply
    6,568.70x = 9,856.84 × 3,646.76
  4. Step 4: Simplify right side
    6,568.70x = 35,945,529.84
  5. Step 5: Solve for x
    x = 35,945,529.84/6,568.70
  6. Step 6: Final answer
    x = 5,472.24

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