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Finding the Fourth Proportional to 9,825.45, 14,744.25 and 3,982.11

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Solution

The fourth proportional to 9,825.45, 14,744.25 and 3,982.11 is: 5,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.45 : 14,744.25 = 3,982.11 : x
  2. Step 2: Convert to fraction form
    9,825.45/14,744.25 = 3,982.11/x
  3. Step 3: Cross multiply
    9,825.45x = 14,744.25 × 3,982.11
  4. Step 4: Simplify right side
    9,825.45x = 58,713,225.37
  5. Step 5: Solve for x
    x = 58,713,225.37/9,825.45
  6. Step 6: Final answer
    x = 5,975.63

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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.