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Finding the Fourth Proportional to 6,584.80, 9,870.96 and 2,199.15

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Solution

The fourth proportional to 6,584.80, 9,870.96 and 2,199.15 is: 3,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.80 : 9,870.96 = 2,199.15 : x
  2. Step 2: Convert to fraction form
    6,584.80/9,870.96 = 2,199.15/x
  3. Step 3: Cross multiply
    6,584.80x = 9,870.96 × 2,199.15
  4. Step 4: Simplify right side
    6,584.80x = 21,707,721.68
  5. Step 5: Solve for x
    x = 21,707,721.68/6,584.80
  6. Step 6: Final answer
    x = 3,296.64

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