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Finding the Fourth Proportional to 6,811.97, 9,402.30 and 3,828.77

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Solution

The fourth proportional to 6,811.97, 9,402.30 and 3,828.77 is: 5,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.97 : 9,402.30 = 3,828.77 : x
  2. Step 2: Convert to fraction form
    6,811.97/9,402.30 = 3,828.77/x
  3. Step 3: Cross multiply
    6,811.97x = 9,402.30 × 3,828.77
  4. Step 4: Simplify right side
    6,811.97x = 35,999,197.16
  5. Step 5: Solve for x
    x = 35,999,197.16/6,811.97
  6. Step 6: Final answer
    x = 5,284.70

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