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Finding the Fourth Proportional to 6,493.39, 9,731.86 and 3,372.83

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Solution

The fourth proportional to 6,493.39, 9,731.86 and 3,372.83 is: 5,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.39 : 9,731.86 = 3,372.83 : x
  2. Step 2: Convert to fraction form
    6,493.39/9,731.86 = 3,372.83/x
  3. Step 3: Cross multiply
    6,493.39x = 9,731.86 × 3,372.83
  4. Step 4: Simplify right side
    6,493.39x = 32,823,909.36
  5. Step 5: Solve for x
    x = 32,823,909.36/6,493.39
  6. Step 6: Final answer
    x = 5,054.97

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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.