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Finding the Fourth Proportional to 7,227.63, 9,974.34 and 4,083.75

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Solution

The fourth proportional to 7,227.63, 9,974.34 and 4,083.75 is: 5,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.63 : 9,974.34 = 4,083.75 : x
  2. Step 2: Convert to fraction form
    7,227.63/9,974.34 = 4,083.75/x
  3. Step 3: Cross multiply
    7,227.63x = 9,974.34 × 4,083.75
  4. Step 4: Simplify right side
    7,227.63x = 40,732,710.98
  5. Step 5: Solve for x
    x = 40,732,710.98/7,227.63
  6. Step 6: Final answer
    x = 5,635.69

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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.