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Finding the Fourth Proportional to 7,093.50, 9,788.94 and 3,949.68

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Solution

The fourth proportional to 7,093.50, 9,788.94 and 3,949.68 is: 5,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.50 : 9,788.94 = 3,949.68 : x
  2. Step 2: Convert to fraction form
    7,093.50/9,788.94 = 3,949.68/x
  3. Step 3: Cross multiply
    7,093.50x = 9,788.94 × 3,949.68
  4. Step 4: Simplify right side
    7,093.50x = 38,663,180.54
  5. Step 5: Solve for x
    x = 38,663,180.54/7,093.50
  6. Step 6: Final answer
    x = 5,450.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.