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Finding the Fourth Proportional to 6,974.56, 9,625.20 and 3,830.80

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Solution

The fourth proportional to 6,974.56, 9,625.20 and 3,830.80 is: 5,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.56 : 9,625.20 = 3,830.80 : x
  2. Step 2: Convert to fraction form
    6,974.56/9,625.20 = 3,830.80/x
  3. Step 3: Cross multiply
    6,974.56x = 9,625.20 × 3,830.80
  4. Step 4: Simplify right side
    6,974.56x = 36,872,216.16
  5. Step 5: Solve for x
    x = 36,872,216.16/6,974.56
  6. Step 6: Final answer
    x = 5,286.67

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