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Finding the Fourth Proportional to 9,297.28, 12,825.49 and 5,936.56

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Solution

The fourth proportional to 9,297.28, 12,825.49 and 5,936.56 is: 8,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.28 : 12,825.49 = 5,936.56 : x
  2. Step 2: Convert to fraction form
    9,297.28/12,825.49 = 5,936.56/x
  3. Step 3: Cross multiply
    9,297.28x = 12,825.49 × 5,936.56
  4. Step 4: Simplify right side
    9,297.28x = 76,139,290.91
  5. Step 5: Solve for x
    x = 76,139,290.91/9,297.28
  6. Step 6: Final answer
    x = 8,189.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.