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Finding the Fourth Proportional to 9,874.74, 13,618.31 and 8,193.48

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Solution

The fourth proportional to 9,874.74, 13,618.31 and 8,193.48 is: 11,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.74 : 13,618.31 = 8,193.48 : x
  2. Step 2: Convert to fraction form
    9,874.74/13,618.31 = 8,193.48/x
  3. Step 3: Cross multiply
    9,874.74x = 13,618.31 × 8,193.48
  4. Step 4: Simplify right side
    9,874.74x = 111,581,350.62
  5. Step 5: Solve for x
    x = 111,581,350.62/9,874.74
  6. Step 6: Final answer
    x = 11,299.67

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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.