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Finding the Fourth Proportional to 10, 13.85 and 9.75

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Solution

The fourth proportional to 10, 13.85 and 9.75 is: 13.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10 : 13.85 = 9.75 : x
  2. Step 2: Convert to fraction form
    10/13.85 = 9.75/x
  3. Step 3: Cross multiply
    10x = 13.85 × 9.75
  4. Step 4: Simplify right side
    10x = 135.04
  5. Step 5: Solve for x
    x = 135.04/10
  6. Step 6: Final answer
    x = 13.50

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