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Finding the Fourth Proportional to 6,436.69, 9,656.45 and 3,664.66

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Solution

The fourth proportional to 6,436.69, 9,656.45 and 3,664.66 is: 5,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.69 : 9,656.45 = 3,664.66 : x
  2. Step 2: Convert to fraction form
    6,436.69/9,656.45 = 3,664.66/x
  3. Step 3: Cross multiply
    6,436.69x = 9,656.45 × 3,664.66
  4. Step 4: Simplify right side
    6,436.69x = 35,387,606.06
  5. Step 5: Solve for x
    x = 35,387,606.06/6,436.69
  6. Step 6: Final answer
    x = 5,497.80

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