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Finding the Fourth Proportional to 9,213.68, 12,715.36 and 5,021.92

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Solution

The fourth proportional to 9,213.68, 12,715.36 and 5,021.92 is: 6,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.68 : 12,715.36 = 5,021.92 : x
  2. Step 2: Convert to fraction form
    9,213.68/12,715.36 = 5,021.92/x
  3. Step 3: Cross multiply
    9,213.68x = 12,715.36 × 5,021.92
  4. Step 4: Simplify right side
    9,213.68x = 63,855,520.69
  5. Step 5: Solve for x
    x = 63,855,520.69/9,213.68
  6. Step 6: Final answer
    x = 6,930.51

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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.