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Finding the Fourth Proportional to 9,227.72, 12,735.82 and 5,451.84

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Solution

The fourth proportional to 9,227.72, 12,735.82 and 5,451.84 is: 7,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.72 : 12,735.82 = 5,451.84 : x
  2. Step 2: Convert to fraction form
    9,227.72/12,735.82 = 5,451.84/x
  3. Step 3: Cross multiply
    9,227.72x = 12,735.82 × 5,451.84
  4. Step 4: Simplify right side
    9,227.72x = 69,433,652.91
  5. Step 5: Solve for x
    x = 69,433,652.91/9,227.72
  6. Step 6: Final answer
    x = 7,524.46

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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.