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Finding the Fourth Proportional to 6,974.83, 9,625.22 and 3,830.95

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Solution

The fourth proportional to 6,974.83, 9,625.22 and 3,830.95 is: 5,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.83 : 9,625.22 = 3,830.95 : x
  2. Step 2: Convert to fraction form
    6,974.83/9,625.22 = 3,830.95/x
  3. Step 3: Cross multiply
    6,974.83x = 9,625.22 × 3,830.95
  4. Step 4: Simplify right side
    6,974.83x = 36,873,717.40
  5. Step 5: Solve for x
    x = 36,873,717.40/6,974.83
  6. Step 6: Final answer
    x = 5,286.68

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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.