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Finding the Fourth Proportional to 9,742.56, 14,609.52 and 6,822.24

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Solution

The fourth proportional to 9,742.56, 14,609.52 and 6,822.24 is: 10,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.56 : 14,609.52 = 6,822.24 : x
  2. Step 2: Convert to fraction form
    9,742.56/14,609.52 = 6,822.24/x
  3. Step 3: Cross multiply
    9,742.56x = 14,609.52 × 6,822.24
  4. Step 4: Simplify right side
    9,742.56x = 99,669,651.72
  5. Step 5: Solve for x
    x = 99,669,651.72/9,742.56
  6. Step 6: Final answer
    x = 10,230.33

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