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Finding the Fourth Proportional to 6,202.31, 9,302.65 and 2,738.75

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Solution

The fourth proportional to 6,202.31, 9,302.65 and 2,738.75 is: 4,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.31 : 9,302.65 = 2,738.75 : x
  2. Step 2: Convert to fraction form
    6,202.31/9,302.65 = 2,738.75/x
  3. Step 3: Cross multiply
    6,202.31x = 9,302.65 × 2,738.75
  4. Step 4: Simplify right side
    6,202.31x = 25,477,632.69
  5. Step 5: Solve for x
    x = 25,477,632.69/6,202.31
  6. Step 6: Final answer
    x = 4,107.77

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