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Finding the Fourth Proportional to 9,982.69, 13,773.57 and 7,325.48

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Solution

The fourth proportional to 9,982.69, 13,773.57 and 7,325.48 is: 10,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.69 : 13,773.57 = 7,325.48 : x
  2. Step 2: Convert to fraction form
    9,982.69/13,773.57 = 7,325.48/x
  3. Step 3: Cross multiply
    9,982.69x = 13,773.57 × 7,325.48
  4. Step 4: Simplify right side
    9,982.69x = 100,898,011.56
  5. Step 5: Solve for x
    x = 100,898,011.56/9,982.69
  6. Step 6: Final answer
    x = 10,107.30

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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.