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Finding the Fourth Proportional to 9,786.96, 14,678.28 and 3,546

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Solution

The fourth proportional to 9,786.96, 14,678.28 and 3,546 is: 5,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.96 : 14,678.28 = 3,546 : x
  2. Step 2: Convert to fraction form
    9,786.96/14,678.28 = 3,546/x
  3. Step 3: Cross multiply
    9,786.96x = 14,678.28 × 3,546
  4. Step 4: Simplify right side
    9,786.96x = 52,049,180.88
  5. Step 5: Solve for x
    x = 52,049,180.88/9,786.96
  6. Step 6: Final answer
    x = 5,318.22

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