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Finding the Fourth Proportional to 6,568.80, 9,064.92 and 3,584.64

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Solution

The fourth proportional to 6,568.80, 9,064.92 and 3,584.64 is: 4,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.80 : 9,064.92 = 3,584.64 : x
  2. Step 2: Convert to fraction form
    6,568.80/9,064.92 = 3,584.64/x
  3. Step 3: Cross multiply
    6,568.80x = 9,064.92 × 3,584.64
  4. Step 4: Simplify right side
    6,568.80x = 32,494,474.83
  5. Step 5: Solve for x
    x = 32,494,474.83/6,568.80
  6. Step 6: Final answer
    x = 4,946.79

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