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Finding the Fourth Proportional to 6,514.65, 9,771.85 and 1,584.25

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Solution

The fourth proportional to 6,514.65, 9,771.85 and 1,584.25 is: 2,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.65 : 9,771.85 = 1,584.25 : x
  2. Step 2: Convert to fraction form
    6,514.65/9,771.85 = 1,584.25/x
  3. Step 3: Cross multiply
    6,514.65x = 9,771.85 × 1,584.25
  4. Step 4: Simplify right side
    6,514.65x = 15,481,053.36
  5. Step 5: Solve for x
    x = 15,481,053.36/6,514.65
  6. Step 6: Final answer
    x = 2,376.34

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