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Finding the Fourth Proportional to 6,584.92, 9,877.56 and 2,201.56

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Solution

The fourth proportional to 6,584.92, 9,877.56 and 2,201.56 is: 3,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.92 : 9,877.56 = 2,201.56 : x
  2. Step 2: Convert to fraction form
    6,584.92/9,877.56 = 2,201.56/x
  3. Step 3: Cross multiply
    6,584.92x = 9,877.56 × 2,201.56
  4. Step 4: Simplify right side
    6,584.92x = 21,746,040.99
  5. Step 5: Solve for x
    x = 21,746,040.99/6,584.92
  6. Step 6: Final answer
    x = 3,302.40

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