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Finding the Fourth Proportional to 6,536.44, 9,804.40 and 1,605.84

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Solution

The fourth proportional to 6,536.44, 9,804.40 and 1,605.84 is: 2,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.44 : 9,804.40 = 1,605.84 : x
  2. Step 2: Convert to fraction form
    6,536.44/9,804.40 = 1,605.84/x
  3. Step 3: Cross multiply
    6,536.44x = 9,804.40 × 1,605.84
  4. Step 4: Simplify right side
    6,536.44x = 15,744,297.70
  5. Step 5: Solve for x
    x = 15,744,297.70/6,536.44
  6. Step 6: Final answer
    x = 2,408.70

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