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Finding the Fourth Proportional to 6,383.52, 9,584.16 and 4,206.24

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Solution

The fourth proportional to 6,383.52, 9,584.16 and 4,206.24 is: 6,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.52 : 9,584.16 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    6,383.52/9,584.16 = 4,206.24/x
  3. Step 3: Cross multiply
    6,383.52x = 9,584.16 × 4,206.24
  4. Step 4: Simplify right side
    6,383.52x = 40,313,277.16
  5. Step 5: Solve for x
    x = 40,313,277.16/6,383.52
  6. Step 6: Final answer
    x = 6,315.21

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