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Finding the Fourth Proportional to 6,514.49, 9,771.74 and 1,584.09

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Solution

The fourth proportional to 6,514.49, 9,771.74 and 1,584.09 is: 2,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.49 : 9,771.74 = 1,584.09 : x
  2. Step 2: Convert to fraction form
    6,514.49/9,771.74 = 1,584.09/x
  3. Step 3: Cross multiply
    6,514.49x = 9,771.74 × 1,584.09
  4. Step 4: Simplify right side
    6,514.49x = 15,479,307.70
  5. Step 5: Solve for x
    x = 15,479,307.70/6,514.49
  6. Step 6: Final answer
    x = 2,376.14

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