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Finding the Fourth Proportional to 9,165.83, 13,745.93 and 3,900.78

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Solution

The fourth proportional to 9,165.83, 13,745.93 and 3,900.78 is: 5,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.83 : 13,745.93 = 3,900.78 : x
  2. Step 2: Convert to fraction form
    9,165.83/13,745.93 = 3,900.78/x
  3. Step 3: Cross multiply
    9,165.83x = 13,745.93 × 3,900.78
  4. Step 4: Simplify right side
    9,165.83x = 53,619,829.32
  5. Step 5: Solve for x
    x = 53,619,829.32/9,165.83
  6. Step 6: Final answer
    x = 5,849.97

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