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Finding the Fourth Proportional to 9,993.66, 14,990.49 and 3,419.90

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Solution

The fourth proportional to 9,993.66, 14,990.49 and 3,419.90 is: 5,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.66 : 14,990.49 = 3,419.90 : x
  2. Step 2: Convert to fraction form
    9,993.66/14,990.49 = 3,419.90/x
  3. Step 3: Cross multiply
    9,993.66x = 14,990.49 × 3,419.90
  4. Step 4: Simplify right side
    9,993.66x = 51,265,976.75
  5. Step 5: Solve for x
    x = 51,265,976.75/9,993.66
  6. Step 6: Final answer
    x = 5,129.85

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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.