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Finding the Fourth Proportional to 7,126.50, 9,834.66 and 3,982.98

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Solution

The fourth proportional to 7,126.50, 9,834.66 and 3,982.98 is: 5,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.50 : 9,834.66 = 3,982.98 : x
  2. Step 2: Convert to fraction form
    7,126.50/9,834.66 = 3,982.98/x
  3. Step 3: Cross multiply
    7,126.50x = 9,834.66 × 3,982.98
  4. Step 4: Simplify right side
    7,126.50x = 39,171,254.09
  5. Step 5: Solve for x
    x = 39,171,254.09/7,126.50
  6. Step 6: Final answer
    x = 5,496.56

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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.