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Finding the Fourth Proportional to 9,198.90, 13,795.38 and 3,933.78

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Solution

The fourth proportional to 9,198.90, 13,795.38 and 3,933.78 is: 5,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.90 : 13,795.38 = 3,933.78 : x
  2. Step 2: Convert to fraction form
    9,198.90/13,795.38 = 3,933.78/x
  3. Step 3: Cross multiply
    9,198.90x = 13,795.38 × 3,933.78
  4. Step 4: Simplify right side
    9,198.90x = 54,267,989.94
  5. Step 5: Solve for x
    x = 54,267,989.94/9,198.90
  6. Step 6: Final answer
    x = 5,899.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.