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Finding the Fourth Proportional to 6,515.22, 9,772.68 and 1,584.66

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Solution

The fourth proportional to 6,515.22, 9,772.68 and 1,584.66 is: 2,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.22 : 9,772.68 = 1,584.66 : x
  2. Step 2: Convert to fraction form
    6,515.22/9,772.68 = 1,584.66/x
  3. Step 3: Cross multiply
    6,515.22x = 9,772.68 × 1,584.66
  4. Step 4: Simplify right side
    6,515.22x = 15,486,375.09
  5. Step 5: Solve for x
    x = 15,486,375.09/6,515.22
  6. Step 6: Final answer
    x = 2,376.95

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