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Finding the Fourth Proportional to 6,186.80, 9,280.20 and 1,569.80

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Solution

The fourth proportional to 6,186.80, 9,280.20 and 1,569.80 is: 2,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.80 : 9,280.20 = 1,569.80 : x
  2. Step 2: Convert to fraction form
    6,186.80/9,280.20 = 1,569.80/x
  3. Step 3: Cross multiply
    6,186.80x = 9,280.20 × 1,569.80
  4. Step 4: Simplify right side
    6,186.80x = 14,568,057.96
  5. Step 5: Solve for x
    x = 14,568,057.96/6,186.80
  6. Step 6: Final answer
    x = 2,354.70

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