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Finding the Fourth Proportional to 6,536.22, 9,804.06 and 1,605.75

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Solution

The fourth proportional to 6,536.22, 9,804.06 and 1,605.75 is: 2,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.22 : 9,804.06 = 1,605.75 : x
  2. Step 2: Convert to fraction form
    6,536.22/9,804.06 = 1,605.75/x
  3. Step 3: Cross multiply
    6,536.22x = 9,804.06 × 1,605.75
  4. Step 4: Simplify right side
    6,536.22x = 15,742,869.35
  5. Step 5: Solve for x
    x = 15,742,869.35/6,536.22
  6. Step 6: Final answer
    x = 2,408.56

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