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Finding the Fourth Proportional to 9,224.82, 12,715.38 and 6,239.57

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Solution

The fourth proportional to 9,224.82, 12,715.38 and 6,239.57 is: 8,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.82 : 12,715.38 = 6,239.57 : x
  2. Step 2: Convert to fraction form
    9,224.82/12,715.38 = 6,239.57/x
  3. Step 3: Cross multiply
    9,224.82x = 12,715.38 × 6,239.57
  4. Step 4: Simplify right side
    9,224.82x = 79,338,440.01
  5. Step 5: Solve for x
    x = 79,338,440.01/9,224.82
  6. Step 6: Final answer
    x = 8,600.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.