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Finding the Fourth Proportional to 9,632.16, 14,433.12 and 5,734.44

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Solution

The fourth proportional to 9,632.16, 14,433.12 and 5,734.44 is: 8,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.16 : 14,433.12 = 5,734.44 : x
  2. Step 2: Convert to fraction form
    9,632.16/14,433.12 = 5,734.44/x
  3. Step 3: Cross multiply
    9,632.16x = 14,433.12 × 5,734.44
  4. Step 4: Simplify right side
    9,632.16x = 82,765,860.65
  5. Step 5: Solve for x
    x = 82,765,860.65/9,632.16
  6. Step 6: Final answer
    x = 8,592.66

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