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Finding the Fourth Proportional to 9,091.40, 13,640.94 and 3,827.75

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Solution

The fourth proportional to 9,091.40, 13,640.94 and 3,827.75 is: 5,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.40 : 13,640.94 = 3,827.75 : x
  2. Step 2: Convert to fraction form
    9,091.40/13,640.94 = 3,827.75/x
  3. Step 3: Cross multiply
    9,091.40x = 13,640.94 × 3,827.75
  4. Step 4: Simplify right side
    9,091.40x = 52,214,039.88
  5. Step 5: Solve for x
    x = 52,214,039.88/9,091.40
  6. Step 6: Final answer
    x = 5,743.24

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