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Finding the Fourth Proportional to 9,825.96, 14,745 and 3,982.62

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Solution

The fourth proportional to 9,825.96, 14,745 and 3,982.62 is: 5,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.96 : 14,745 = 3,982.62 : x
  2. Step 2: Convert to fraction form
    9,825.96/14,745 = 3,982.62/x
  3. Step 3: Cross multiply
    9,825.96x = 14,745 × 3,982.62
  4. Step 4: Simplify right side
    9,825.96x = 58,723,731.90
  5. Step 5: Solve for x
    x = 58,723,731.90/9,825.96
  6. Step 6: Final answer
    x = 5,976.39

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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.