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Finding the Fourth Proportional to 6,538.91, 9,802.83 and 2,838.36

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Solution

The fourth proportional to 6,538.91, 9,802.83 and 2,838.36 is: 4,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.91 : 9,802.83 = 2,838.36 : x
  2. Step 2: Convert to fraction form
    6,538.91/9,802.83 = 2,838.36/x
  3. Step 3: Cross multiply
    6,538.91x = 9,802.83 × 2,838.36
  4. Step 4: Simplify right side
    6,538.91x = 27,823,911.54
  5. Step 5: Solve for x
    x = 27,823,911.54/6,538.91
  6. Step 6: Final answer
    x = 4,255.13

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