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Finding the Fourth Proportional to 6,978.26, 9,629.98 and 3,834.64

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Solution

The fourth proportional to 6,978.26, 9,629.98 and 3,834.64 is: 5,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.26 : 9,629.98 = 3,834.64 : x
  2. Step 2: Convert to fraction form
    6,978.26/9,629.98 = 3,834.64/x
  3. Step 3: Cross multiply
    6,978.26x = 9,629.98 × 3,834.64
  4. Step 4: Simplify right side
    6,978.26x = 36,927,506.51
  5. Step 5: Solve for x
    x = 36,927,506.51/6,978.26
  6. Step 6: Final answer
    x = 5,291.79

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