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Finding the Fourth Proportional to 6,689.52, 9,231.70 and 3,664.94

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Solution

The fourth proportional to 6,689.52, 9,231.70 and 3,664.94 is: 5,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.52 : 9,231.70 = 3,664.94 : x
  2. Step 2: Convert to fraction form
    6,689.52/9,231.70 = 3,664.94/x
  3. Step 3: Cross multiply
    6,689.52x = 9,231.70 × 3,664.94
  4. Step 4: Simplify right side
    6,689.52x = 33,833,571.28
  5. Step 5: Solve for x
    x = 33,833,571.28/6,689.52
  6. Step 6: Final answer
    x = 5,057.70

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