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Finding the Fourth Proportional to 6,974.86, 9,625.31 and 3,788.14

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Solution

The fourth proportional to 6,974.86, 9,625.31 and 3,788.14 is: 5,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.86 : 9,625.31 = 3,788.14 : x
  2. Step 2: Convert to fraction form
    6,974.86/9,625.31 = 3,788.14/x
  3. Step 3: Cross multiply
    6,974.86x = 9,625.31 × 3,788.14
  4. Step 4: Simplify right side
    6,974.86x = 36,462,027.49
  5. Step 5: Solve for x
    x = 36,462,027.49/6,974.86
  6. Step 6: Final answer
    x = 5,227.64

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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.