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Finding the Fourth Proportional to 9,581.49, 13,194.50 and 8,441.42

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Solution

The fourth proportional to 9,581.49, 13,194.50 and 8,441.42 is: 11,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.49 : 13,194.50 = 8,441.42 : x
  2. Step 2: Convert to fraction form
    9,581.49/13,194.50 = 8,441.42/x
  3. Step 3: Cross multiply
    9,581.49x = 13,194.50 × 8,441.42
  4. Step 4: Simplify right side
    9,581.49x = 111,380,208.01
  5. Step 5: Solve for x
    x = 111,380,208.01/9,581.49
  6. Step 6: Final answer
    x = 11,624.52

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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.