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Finding the Fourth Proportional to 7,204.72, 9,942.52 and 3,892.72

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Solution

The fourth proportional to 7,204.72, 9,942.52 and 3,892.72 is: 5,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.72 : 9,942.52 = 3,892.72 : x
  2. Step 2: Convert to fraction form
    7,204.72/9,942.52 = 3,892.72/x
  3. Step 3: Cross multiply
    7,204.72x = 9,942.52 × 3,892.72
  4. Step 4: Simplify right side
    7,204.72x = 38,703,446.45
  5. Step 5: Solve for x
    x = 38,703,446.45/7,204.72
  6. Step 6: Final answer
    x = 5,371.96

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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.