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Finding the Fourth Proportional to 9,530.85, 14,299.92 and 3,982.62

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Solution

The fourth proportional to 9,530.85, 14,299.92 and 3,982.62 is: 5,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.85 : 14,299.92 = 3,982.62 : x
  2. Step 2: Convert to fraction form
    9,530.85/14,299.92 = 3,982.62/x
  3. Step 3: Cross multiply
    9,530.85x = 14,299.92 × 3,982.62
  4. Step 4: Simplify right side
    9,530.85x = 56,951,147.39
  5. Step 5: Solve for x
    x = 56,951,147.39/9,530.85
  6. Step 6: Final answer
    x = 5,975.45

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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.