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Finding the Fourth Proportional to 9,646.97, 14,462.08 and 3,802.14

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Solution

The fourth proportional to 9,646.97, 14,462.08 and 3,802.14 is: 5,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.97 : 14,462.08 = 3,802.14 : x
  2. Step 2: Convert to fraction form
    9,646.97/14,462.08 = 3,802.14/x
  3. Step 3: Cross multiply
    9,646.97x = 14,462.08 × 3,802.14
  4. Step 4: Simplify right side
    9,646.97x = 54,986,843.35
  5. Step 5: Solve for x
    x = 54,986,843.35/9,646.97
  6. Step 6: Final answer
    x = 5,699.91

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