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Finding the Fourth Proportional to 6,138.75, 9,207.72 and 1,977.66

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Solution

The fourth proportional to 6,138.75, 9,207.72 and 1,977.66 is: 2,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.75 : 9,207.72 = 1,977.66 : x
  2. Step 2: Convert to fraction form
    6,138.75/9,207.72 = 1,977.66/x
  3. Step 3: Cross multiply
    6,138.75x = 9,207.72 × 1,977.66
  4. Step 4: Simplify right side
    6,138.75x = 18,209,739.54
  5. Step 5: Solve for x
    x = 18,209,739.54/6,138.75
  6. Step 6: Final answer
    x = 2,966.36

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