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Finding the Fourth Proportional to 6,514.43, 9,771.57 and 1,584.09

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Solution

The fourth proportional to 6,514.43, 9,771.57 and 1,584.09 is: 2,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.43 : 9,771.57 = 1,584.09 : x
  2. Step 2: Convert to fraction form
    6,514.43/9,771.57 = 1,584.09/x
  3. Step 3: Cross multiply
    6,514.43x = 9,771.57 × 1,584.09
  4. Step 4: Simplify right side
    6,514.43x = 15,479,046.32
  5. Step 5: Solve for x
    x = 15,479,046.32/6,514.43
  6. Step 6: Final answer
    x = 2,376.12

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