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Finding the Fourth Proportional to 6,514.16, 9,771.09 and 1,583.75

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Solution

The fourth proportional to 6,514.16, 9,771.09 and 1,583.75 is: 2,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.16 : 9,771.09 = 1,583.75 : x
  2. Step 2: Convert to fraction form
    6,514.16/9,771.09 = 1,583.75/x
  3. Step 3: Cross multiply
    6,514.16x = 9,771.09 × 1,583.75
  4. Step 4: Simplify right side
    6,514.16x = 15,474,914.93
  5. Step 5: Solve for x
    x = 15,474,914.93/6,514.16
  6. Step 6: Final answer
    x = 2,375.58

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