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Finding the Fourth Proportional to 9,213.96, 12,715.20 and 5,022.24

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Solution

The fourth proportional to 9,213.96, 12,715.20 and 5,022.24 is: 6,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.96 : 12,715.20 = 5,022.24 : x
  2. Step 2: Convert to fraction form
    9,213.96/12,715.20 = 5,022.24/x
  3. Step 3: Cross multiply
    9,213.96x = 12,715.20 × 5,022.24
  4. Step 4: Simplify right side
    9,213.96x = 63,858,786.05
  5. Step 5: Solve for x
    x = 63,858,786.05/9,213.96
  6. Step 6: Final answer
    x = 6,930.66

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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.