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Finding the Fourth Proportional to 6,939, 9,575.82 and 3,795.26

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Solution

The fourth proportional to 6,939, 9,575.82 and 3,795.26 is: 5,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 9,575.82 = 3,795.26 : x
  2. Step 2: Convert to fraction form
    6,939/9,575.82 = 3,795.26/x
  3. Step 3: Cross multiply
    6,939x = 9,575.82 × 3,795.26
  4. Step 4: Simplify right side
    6,939x = 36,342,678.73
  5. Step 5: Solve for x
    x = 36,342,678.73/6,939
  6. Step 6: Final answer
    x = 5,237.45

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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.