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Finding the Fourth Proportional to 6,906.56, 9,531.16 and 3,762.75

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Solution

The fourth proportional to 6,906.56, 9,531.16 and 3,762.75 is: 5,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.56 : 9,531.16 = 3,762.75 : x
  2. Step 2: Convert to fraction form
    6,906.56/9,531.16 = 3,762.75/x
  3. Step 3: Cross multiply
    6,906.56x = 9,531.16 × 3,762.75
  4. Step 4: Simplify right side
    6,906.56x = 35,863,372.29
  5. Step 5: Solve for x
    x = 35,863,372.29/6,906.56
  6. Step 6: Final answer
    x = 5,192.65

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