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Finding the Fourth Proportional to 6,514.99, 9,772.34 and 1,584.65

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Solution

The fourth proportional to 6,514.99, 9,772.34 and 1,584.65 is: 2,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.99 : 9,772.34 = 1,584.65 : x
  2. Step 2: Convert to fraction form
    6,514.99/9,772.34 = 1,584.65/x
  3. Step 3: Cross multiply
    6,514.99x = 9,772.34 × 1,584.65
  4. Step 4: Simplify right side
    6,514.99x = 15,485,738.58
  5. Step 5: Solve for x
    x = 15,485,738.58/6,514.99
  6. Step 6: Final answer
    x = 2,376.94

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