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Finding the Fourth Proportional to 6,565.77, 9,825.52 and 4,101.75

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Solution

The fourth proportional to 6,565.77, 9,825.52 and 4,101.75 is: 6,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.77 : 9,825.52 = 4,101.75 : x
  2. Step 2: Convert to fraction form
    6,565.77/9,825.52 = 4,101.75/x
  3. Step 3: Cross multiply
    6,565.77x = 9,825.52 × 4,101.75
  4. Step 4: Simplify right side
    6,565.77x = 40,301,826.66
  5. Step 5: Solve for x
    x = 40,301,826.66/6,565.77
  6. Step 6: Final answer
    x = 6,138.17

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