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Finding the Fourth Proportional to 6,514.98, 9,772.41 and 1,584.60

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Solution

The fourth proportional to 6,514.98, 9,772.41 and 1,584.60 is: 2,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.98 : 9,772.41 = 1,584.60 : x
  2. Step 2: Convert to fraction form
    6,514.98/9,772.41 = 1,584.60/x
  3. Step 3: Cross multiply
    6,514.98x = 9,772.41 × 1,584.60
  4. Step 4: Simplify right side
    6,514.98x = 15,485,360.89
  5. Step 5: Solve for x
    x = 15,485,360.89/6,514.98
  6. Step 6: Final answer
    x = 2,376.89

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