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Finding the Fourth Proportional to 9,161.43, 13,724.15 and 4,773.03

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Solution

The fourth proportional to 9,161.43, 13,724.15 and 4,773.03 is: 7,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.43 : 13,724.15 = 4,773.03 : x
  2. Step 2: Convert to fraction form
    9,161.43/13,724.15 = 4,773.03/x
  3. Step 3: Cross multiply
    9,161.43x = 13,724.15 × 4,773.03
  4. Step 4: Simplify right side
    9,161.43x = 65,505,755.81
  5. Step 5: Solve for x
    x = 65,505,755.81/9,161.43
  6. Step 6: Final answer
    x = 7,150.17

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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.