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Finding the Fourth Proportional to 6,514.15, 9,771.20 and 1,583.80

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Solution

The fourth proportional to 6,514.15, 9,771.20 and 1,583.80 is: 2,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.15 : 9,771.20 = 1,583.80 : x
  2. Step 2: Convert to fraction form
    6,514.15/9,771.20 = 1,583.80/x
  3. Step 3: Cross multiply
    6,514.15x = 9,771.20 × 1,583.80
  4. Step 4: Simplify right side
    6,514.15x = 15,475,626.56
  5. Step 5: Solve for x
    x = 15,475,626.56/6,514.15
  6. Step 6: Final answer
    x = 2,375.69

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