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Finding the Fourth Proportional to 6,109.78, 9,164.67 and 3,932.35

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Solution

The fourth proportional to 6,109.78, 9,164.67 and 3,932.35 is: 5,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.78 : 9,164.67 = 3,932.35 : x
  2. Step 2: Convert to fraction form
    6,109.78/9,164.67 = 3,932.35/x
  3. Step 3: Cross multiply
    6,109.78x = 9,164.67 × 3,932.35
  4. Step 4: Simplify right side
    6,109.78x = 36,038,663.48
  5. Step 5: Solve for x
    x = 36,038,663.48/6,109.78
  6. Step 6: Final answer
    x = 5,898.52

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