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Finding the Fourth Proportional to 6,440.20, 9,660.84 and 1,823.20

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Solution

The fourth proportional to 6,440.20, 9,660.84 and 1,823.20 is: 2,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.20 : 9,660.84 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    6,440.20/9,660.84 = 1,823.20/x
  3. Step 3: Cross multiply
    6,440.20x = 9,660.84 × 1,823.20
  4. Step 4: Simplify right side
    6,440.20x = 17,613,643.49
  5. Step 5: Solve for x
    x = 17,613,643.49/6,440.20
  6. Step 6: Final answer
    x = 2,734.95

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