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Finding the Fourth Proportional to 9,974.34, 13,763.48 and 5,724.27

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Solution

The fourth proportional to 9,974.34, 13,763.48 and 5,724.27 is: 7,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.34 : 13,763.48 = 5,724.27 : x
  2. Step 2: Convert to fraction form
    9,974.34/13,763.48 = 5,724.27/x
  3. Step 3: Cross multiply
    9,974.34x = 13,763.48 × 5,724.27
  4. Step 4: Simplify right side
    9,974.34x = 78,785,847.04
  5. Step 5: Solve for x
    x = 78,785,847.04/9,974.34
  6. Step 6: Final answer
    x = 7,898.85

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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.