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Finding the Fourth Proportional to 7,213.42, 9,954.30 and 4,229.20

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Solution

The fourth proportional to 7,213.42, 9,954.30 and 4,229.20 is: 5,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.42 : 9,954.30 = 4,229.20 : x
  2. Step 2: Convert to fraction form
    7,213.42/9,954.30 = 4,229.20/x
  3. Step 3: Cross multiply
    7,213.42x = 9,954.30 × 4,229.20
  4. Step 4: Simplify right side
    7,213.42x = 42,098,725.56
  5. Step 5: Solve for x
    x = 42,098,725.56/7,213.42
  6. Step 6: Final answer
    x = 5,836.17

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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.