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Finding the Fourth Proportional to 6,497.63, 9,747.47 and 2,114.06

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Solution

The fourth proportional to 6,497.63, 9,747.47 and 2,114.06 is: 3,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.63 : 9,747.47 = 2,114.06 : x
  2. Step 2: Convert to fraction form
    6,497.63/9,747.47 = 2,114.06/x
  3. Step 3: Cross multiply
    6,497.63x = 9,747.47 × 2,114.06
  4. Step 4: Simplify right side
    6,497.63x = 20,606,736.43
  5. Step 5: Solve for x
    x = 20,606,736.43/6,497.63
  6. Step 6: Final answer
    x = 3,171.42

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