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Finding the Fourth Proportional to 9,993.06, 14,998.23 and 3,841.38

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Solution

The fourth proportional to 9,993.06, 14,998.23 and 3,841.38 is: 5,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.06 : 14,998.23 = 3,841.38 : x
  2. Step 2: Convert to fraction form
    9,993.06/14,998.23 = 3,841.38/x
  3. Step 3: Cross multiply
    9,993.06x = 14,998.23 × 3,841.38
  4. Step 4: Simplify right side
    9,993.06x = 57,613,900.76
  5. Step 5: Solve for x
    x = 57,613,900.76/9,993.06
  6. Step 6: Final answer
    x = 5,765.39

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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.