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Finding the Fourth Proportional to 9,161.44, 13,724.40 and 7,204

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Solution

The fourth proportional to 9,161.44, 13,724.40 and 7,204 is: 10,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.44 : 13,724.40 = 7,204 : x
  2. Step 2: Convert to fraction form
    9,161.44/13,724.40 = 7,204/x
  3. Step 3: Cross multiply
    9,161.44x = 13,724.40 × 7,204
  4. Step 4: Simplify right side
    9,161.44x = 98,870,577.60
  5. Step 5: Solve for x
    x = 98,870,577.60/9,161.44
  6. Step 6: Final answer
    x = 10,792.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.