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Finding the Fourth Proportional to 6,535.82, 9,803.76 and 1,605.46

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Solution

The fourth proportional to 6,535.82, 9,803.76 and 1,605.46 is: 2,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.82 : 9,803.76 = 1,605.46 : x
  2. Step 2: Convert to fraction form
    6,535.82/9,803.76 = 1,605.46/x
  3. Step 3: Cross multiply
    6,535.82x = 9,803.76 × 1,605.46
  4. Step 4: Simplify right side
    6,535.82x = 15,739,487.48
  5. Step 5: Solve for x
    x = 15,739,487.48/6,535.82
  6. Step 6: Final answer
    x = 2,408.19

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