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Finding the Fourth Proportional to 9,220.56, 13,836.24 and 3,883.38

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Solution

The fourth proportional to 9,220.56, 13,836.24 and 3,883.38 is: 5,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.56 : 13,836.24 = 3,883.38 : x
  2. Step 2: Convert to fraction form
    9,220.56/13,836.24 = 3,883.38/x
  3. Step 3: Cross multiply
    9,220.56x = 13,836.24 × 3,883.38
  4. Step 4: Simplify right side
    9,220.56x = 53,731,377.69
  5. Step 5: Solve for x
    x = 53,731,377.69/9,220.56
  6. Step 6: Final answer
    x = 5,827.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.