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Finding the Fourth Proportional to 9,274.50, 13,917.42 and 3,727.26

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Solution

The fourth proportional to 9,274.50, 13,917.42 and 3,727.26 is: 5,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.50 : 13,917.42 = 3,727.26 : x
  2. Step 2: Convert to fraction form
    9,274.50/13,917.42 = 3,727.26/x
  3. Step 3: Cross multiply
    9,274.50x = 13,917.42 × 3,727.26
  4. Step 4: Simplify right side
    9,274.50x = 51,873,842.87
  5. Step 5: Solve for x
    x = 51,873,842.87/9,274.50
  6. Step 6: Final answer
    x = 5,593.17

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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.