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Finding the Fourth Proportional to 6,536.14, 9,804.20 and 1,605.80

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Solution

The fourth proportional to 6,536.14, 9,804.20 and 1,605.80 is: 2,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.14 : 9,804.20 = 1,605.80 : x
  2. Step 2: Convert to fraction form
    6,536.14/9,804.20 = 1,605.80/x
  3. Step 3: Cross multiply
    6,536.14x = 9,804.20 × 1,605.80
  4. Step 4: Simplify right side
    6,536.14x = 15,743,584.36
  5. Step 5: Solve for x
    x = 15,743,584.36/6,536.14
  6. Step 6: Final answer
    x = 2,408.70

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