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Finding the Fourth Proportional to 6,538.21, 9,801.78 and 2,837.65

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Solution

The fourth proportional to 6,538.21, 9,801.78 and 2,837.65 is: 4,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.21 : 9,801.78 = 2,837.65 : x
  2. Step 2: Convert to fraction form
    6,538.21/9,801.78 = 2,837.65/x
  3. Step 3: Cross multiply
    6,538.21x = 9,801.78 × 2,837.65
  4. Step 4: Simplify right side
    6,538.21x = 27,814,021.02
  5. Step 5: Solve for x
    x = 27,814,021.02/6,538.21
  6. Step 6: Final answer
    x = 4,254.07

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