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Finding the Fourth Proportional to 7,204.92, 9,949.89 and 4,972.56

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Solution

The fourth proportional to 7,204.92, 9,949.89 and 4,972.56 is: 6,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.92 : 9,949.89 = 4,972.56 : x
  2. Step 2: Convert to fraction form
    7,204.92/9,949.89 = 4,972.56/x
  3. Step 3: Cross multiply
    7,204.92x = 9,949.89 × 4,972.56
  4. Step 4: Simplify right side
    7,204.92x = 49,476,425.02
  5. Step 5: Solve for x
    x = 49,476,425.02/7,204.92
  6. Step 6: Final answer
    x = 6,867.03

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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.