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Finding the Fourth Proportional to 6,814.76, 9,404.26 and 3,831.20

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Solution

The fourth proportional to 6,814.76, 9,404.26 and 3,831.20 is: 5,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.76 : 9,404.26 = 3,831.20 : x
  2. Step 2: Convert to fraction form
    6,814.76/9,404.26 = 3,831.20/x
  3. Step 3: Cross multiply
    6,814.76x = 9,404.26 × 3,831.20
  4. Step 4: Simplify right side
    6,814.76x = 36,029,544.31
  5. Step 5: Solve for x
    x = 36,029,544.31/6,814.76
  6. Step 6: Final answer
    x = 5,286.98

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