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Finding the Fourth Proportional to 7,218.09, 9,961 and 3,906.09

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Solution

The fourth proportional to 7,218.09, 9,961 and 3,906.09 is: 5,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.09 : 9,961 = 3,906.09 : x
  2. Step 2: Convert to fraction form
    7,218.09/9,961 = 3,906.09/x
  3. Step 3: Cross multiply
    7,218.09x = 9,961 × 3,906.09
  4. Step 4: Simplify right side
    7,218.09x = 38,908,562.49
  5. Step 5: Solve for x
    x = 38,908,562.49/7,218.09
  6. Step 6: Final answer
    x = 5,390.42

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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.