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Finding the Fourth Proportional to 7,213.24, 9,954.30 and 3,901.24

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Solution

The fourth proportional to 7,213.24, 9,954.30 and 3,901.24 is: 5,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.24 : 9,954.30 = 3,901.24 : x
  2. Step 2: Convert to fraction form
    7,213.24/9,954.30 = 3,901.24/x
  3. Step 3: Cross multiply
    7,213.24x = 9,954.30 × 3,901.24
  4. Step 4: Simplify right side
    7,213.24x = 38,834,113.33
  5. Step 5: Solve for x
    x = 38,834,113.33/7,213.24
  6. Step 6: Final answer
    x = 5,383.73

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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.