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Finding the Fourth Proportional to 9,942.75, 13,721.67 and 5,751

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Solution

The fourth proportional to 9,942.75, 13,721.67 and 5,751 is: 7,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.75 : 13,721.67 = 5,751 : x
  2. Step 2: Convert to fraction form
    9,942.75/13,721.67 = 5,751/x
  3. Step 3: Cross multiply
    9,942.75x = 13,721.67 × 5,751
  4. Step 4: Simplify right side
    9,942.75x = 78,913,324.17
  5. Step 5: Solve for x
    x = 78,913,324.17/9,942.75
  6. Step 6: Final answer
    x = 7,936.77

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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.