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Finding the Fourth Proportional to 9,839.16, 13,578.84 and 5,647.68

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Solution

The fourth proportional to 9,839.16, 13,578.84 and 5,647.68 is: 7,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.16 : 13,578.84 = 5,647.68 : x
  2. Step 2: Convert to fraction form
    9,839.16/13,578.84 = 5,647.68/x
  3. Step 3: Cross multiply
    9,839.16x = 13,578.84 × 5,647.68
  4. Step 4: Simplify right side
    9,839.16x = 76,688,943.09
  5. Step 5: Solve for x
    x = 76,688,943.09/9,839.16
  6. Step 6: Final answer
    x = 7,794.26

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