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Finding the Fourth Proportional to 6,538.89, 9,802.82 and 2,838.33

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Solution

The fourth proportional to 6,538.89, 9,802.82 and 2,838.33 is: 4,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.89 : 9,802.82 = 2,838.33 : x
  2. Step 2: Convert to fraction form
    6,538.89/9,802.82 = 2,838.33/x
  3. Step 3: Cross multiply
    6,538.89x = 9,802.82 × 2,838.33
  4. Step 4: Simplify right side
    6,538.89x = 27,823,623.90
  5. Step 5: Solve for x
    x = 27,823,623.90/6,538.89
  6. Step 6: Final answer
    x = 4,255.10

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