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Finding the Fourth Proportional to 10,906.64, 16,346.00 and 9,495.26

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Solution

The fourth proportional to 10,906.64, 16,346.00 and 9,495.26 is: 14,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.64 : 16,346.00 = 9,495.26 : x
  2. Step 2: Convert to fraction form
    10,906.64/16,346.00 = 9,495.26/x
  3. Step 3: Cross multiply
    10,906.64x = 16,346.00 × 9,495.26
  4. Step 4: Simplify right side
    10,906.64x = 155,209,390.75
  5. Step 5: Solve for x
    x = 155,209,390.75/10,906.64
  6. Step 6: Final answer
    x = 14,230.73

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