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Finding the Fourth Proportional to 10,418.81, 15,646.86 and 9,584.33

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Solution

The fourth proportional to 10,418.81, 15,646.86 and 9,584.33 is: 14,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.81 : 15,646.86 = 9,584.33 : x
  2. Step 2: Convert to fraction form
    10,418.81/15,646.86 = 9,584.33/x
  3. Step 3: Cross multiply
    10,418.81x = 15,646.86 × 9,584.33
  4. Step 4: Simplify right side
    10,418.81x = 149,964,591.47
  5. Step 5: Solve for x
    x = 149,964,591.47/10,418.81
  6. Step 6: Final answer
    x = 14,393.65

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