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Finding the Fourth Proportional to 9,271.82, 12,797.49 and 5,732.96

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Solution

The fourth proportional to 9,271.82, 12,797.49 and 5,732.96 is: 7,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.82 : 12,797.49 = 5,732.96 : x
  2. Step 2: Convert to fraction form
    9,271.82/12,797.49 = 5,732.96/x
  3. Step 3: Cross multiply
    9,271.82x = 12,797.49 × 5,732.96
  4. Step 4: Simplify right side
    9,271.82x = 73,367,434.28
  5. Step 5: Solve for x
    x = 73,367,434.28/9,271.82
  6. Step 6: Final answer
    x = 7,912.95

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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.