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Finding the Fourth Proportional to 6,186.75, 9,280.67 and 1,569.75

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Solution

The fourth proportional to 6,186.75, 9,280.67 and 1,569.75 is: 2,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.75 : 9,280.67 = 1,569.75 : x
  2. Step 2: Convert to fraction form
    6,186.75/9,280.67 = 1,569.75/x
  3. Step 3: Cross multiply
    6,186.75x = 9,280.67 × 1,569.75
  4. Step 4: Simplify right side
    6,186.75x = 14,568,323.88
  5. Step 5: Solve for x
    x = 14,568,323.88/6,186.75
  6. Step 6: Final answer
    x = 2,354.76

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