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Finding the Fourth Proportional to 6,514.92, 9,772.25 and 1,584.59

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Solution

The fourth proportional to 6,514.92, 9,772.25 and 1,584.59 is: 2,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.92 : 9,772.25 = 1,584.59 : x
  2. Step 2: Convert to fraction form
    6,514.92/9,772.25 = 1,584.59/x
  3. Step 3: Cross multiply
    6,514.92x = 9,772.25 × 1,584.59
  4. Step 4: Simplify right side
    6,514.92x = 15,484,952.84
  5. Step 5: Solve for x
    x = 15,484,952.84/6,514.92
  6. Step 6: Final answer
    x = 2,376.84

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