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Finding the Fourth Proportional to 6,954.14, 9,595.77 and 3,969.78

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Solution

The fourth proportional to 6,954.14, 9,595.77 and 3,969.78 is: 5,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.14 : 9,595.77 = 3,969.78 : x
  2. Step 2: Convert to fraction form
    6,954.14/9,595.77 = 3,969.78/x
  3. Step 3: Cross multiply
    6,954.14x = 9,595.77 × 3,969.78
  4. Step 4: Simplify right side
    6,954.14x = 38,093,095.83
  5. Step 5: Solve for x
    x = 38,093,095.83/6,954.14
  6. Step 6: Final answer
    x = 5,477.76

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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.