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Finding the Fourth Proportional to 9,299.82, 12,832.92 and 5,320.92

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Solution

The fourth proportional to 9,299.82, 12,832.92 and 5,320.92 is: 7,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.82 : 12,832.92 = 5,320.92 : x
  2. Step 2: Convert to fraction form
    9,299.82/12,832.92 = 5,320.92/x
  3. Step 3: Cross multiply
    9,299.82x = 12,832.92 × 5,320.92
  4. Step 4: Simplify right side
    9,299.82x = 68,282,940.69
  5. Step 5: Solve for x
    x = 68,282,940.69/9,299.82
  6. Step 6: Final answer
    x = 7,342.39

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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.