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Finding the Fourth Proportional to 6,708.36, 9,256.80 and 3,837.12

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Solution

The fourth proportional to 6,708.36, 9,256.80 and 3,837.12 is: 5,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.36 : 9,256.80 = 3,837.12 : x
  2. Step 2: Convert to fraction form
    6,708.36/9,256.80 = 3,837.12/x
  3. Step 3: Cross multiply
    6,708.36x = 9,256.80 × 3,837.12
  4. Step 4: Simplify right side
    6,708.36x = 35,519,452.42
  5. Step 5: Solve for x
    x = 35,519,452.42/6,708.36
  6. Step 6: Final answer
    x = 5,294.80

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