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Finding the Fourth Proportional to 6,514.36, 9,771.54 and 1,583.97

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Solution

The fourth proportional to 6,514.36, 9,771.54 and 1,583.97 is: 2,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.36 : 9,771.54 = 1,583.97 : x
  2. Step 2: Convert to fraction form
    6,514.36/9,771.54 = 1,583.97/x
  3. Step 3: Cross multiply
    6,514.36x = 9,771.54 × 1,583.97
  4. Step 4: Simplify right side
    6,514.36x = 15,477,826.21
  5. Step 5: Solve for x
    x = 15,477,826.21/6,514.36
  6. Step 6: Final answer
    x = 2,375.96

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