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Finding the Fourth Proportional to 6,455.16, 9,682.20 and 2,559.78

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Solution

The fourth proportional to 6,455.16, 9,682.20 and 2,559.78 is: 3,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.16 : 9,682.20 = 2,559.78 : x
  2. Step 2: Convert to fraction form
    6,455.16/9,682.20 = 2,559.78/x
  3. Step 3: Cross multiply
    6,455.16x = 9,682.20 × 2,559.78
  4. Step 4: Simplify right side
    6,455.16x = 24,784,301.92
  5. Step 5: Solve for x
    x = 24,784,301.92/6,455.16
  6. Step 6: Final answer
    x = 3,839.46

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