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Finding the Fourth Proportional to 9,974.09, 13,763.13 and 5,724.02

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Solution

The fourth proportional to 9,974.09, 13,763.13 and 5,724.02 is: 7,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.09 : 13,763.13 = 5,724.02 : x
  2. Step 2: Convert to fraction form
    9,974.09/13,763.13 = 5,724.02/x
  3. Step 3: Cross multiply
    9,974.09x = 13,763.13 × 5,724.02
  4. Step 4: Simplify right side
    9,974.09x = 78,780,431.38
  5. Step 5: Solve for x
    x = 78,780,431.38/9,974.09
  6. Step 6: Final answer
    x = 7,898.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.