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Finding the Fourth Proportional to 10,489.20, 15,733.80 and 9,644.40

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Solution

The fourth proportional to 10,489.20, 15,733.80 and 9,644.40 is: 14,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.20 : 15,733.80 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    10,489.20/15,733.80 = 9,644.40/x
  3. Step 3: Cross multiply
    10,489.20x = 15,733.80 × 9,644.40
  4. Step 4: Simplify right side
    10,489.20x = 151,743,060.72
  5. Step 5: Solve for x
    x = 151,743,060.72/10,489.20
  6. Step 6: Final answer
    x = 14,466.60

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