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Finding the Fourth Proportional to 6,067.53, 9,101.25 and 1,564.56

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Solution

The fourth proportional to 6,067.53, 9,101.25 and 1,564.56 is: 2,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.53 : 9,101.25 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    6,067.53/9,101.25 = 1,564.56/x
  3. Step 3: Cross multiply
    6,067.53x = 9,101.25 × 1,564.56
  4. Step 4: Simplify right side
    6,067.53x = 14,239,451.70
  5. Step 5: Solve for x
    x = 14,239,451.70/6,067.53
  6. Step 6: Final answer
    x = 2,346.83

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