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Finding the Fourth Proportional to 9,933.83, 13,709.85 and 5,954.85

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Solution

The fourth proportional to 9,933.83, 13,709.85 and 5,954.85 is: 8,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.83 : 13,709.85 = 5,954.85 : x
  2. Step 2: Convert to fraction form
    9,933.83/13,709.85 = 5,954.85/x
  3. Step 3: Cross multiply
    9,933.83x = 13,709.85 × 5,954.85
  4. Step 4: Simplify right side
    9,933.83x = 81,640,100.27
  5. Step 5: Solve for x
    x = 81,640,100.27/9,933.83
  6. Step 6: Final answer
    x = 8,218.40

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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.