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Finding the Fourth Proportional to 6,569.42, 9,065.79 and 3,736.78

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Solution

The fourth proportional to 6,569.42, 9,065.79 and 3,736.78 is: 5,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.42 : 9,065.79 = 3,736.78 : x
  2. Step 2: Convert to fraction form
    6,569.42/9,065.79 = 3,736.78/x
  3. Step 3: Cross multiply
    6,569.42x = 9,065.79 × 3,736.78
  4. Step 4: Simplify right side
    6,569.42x = 33,876,840.09
  5. Step 5: Solve for x
    x = 33,876,840.09/6,569.42
  6. Step 6: Final answer
    x = 5,156.75

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