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Finding the Fourth Proportional to 6,538.41, 9,802.08 and 2,837.86

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Solution

The fourth proportional to 6,538.41, 9,802.08 and 2,837.86 is: 4,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.41 : 9,802.08 = 2,837.86 : x
  2. Step 2: Convert to fraction form
    6,538.41/9,802.08 = 2,837.86/x
  3. Step 3: Cross multiply
    6,538.41x = 9,802.08 × 2,837.86
  4. Step 4: Simplify right side
    6,538.41x = 27,816,881.74
  5. Step 5: Solve for x
    x = 27,816,881.74/6,538.41
  6. Step 6: Final answer
    x = 4,254.38

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