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Finding the Fourth Proportional to 6,908.21, 9,533.03 and 3,924.03

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Solution

The fourth proportional to 6,908.21, 9,533.03 and 3,924.03 is: 5,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.21 : 9,533.03 = 3,924.03 : x
  2. Step 2: Convert to fraction form
    6,908.21/9,533.03 = 3,924.03/x
  3. Step 3: Cross multiply
    6,908.21x = 9,533.03 × 3,924.03
  4. Step 4: Simplify right side
    6,908.21x = 37,407,876.09
  5. Step 5: Solve for x
    x = 37,407,876.09/6,908.21
  6. Step 6: Final answer
    x = 5,414.99

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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.