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Finding the Fourth Proportional to 7,126.24, 9,834 and 3,982.48

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Solution

The fourth proportional to 7,126.24, 9,834 and 3,982.48 is: 5,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.24 : 9,834 = 3,982.48 : x
  2. Step 2: Convert to fraction form
    7,126.24/9,834 = 3,982.48/x
  3. Step 3: Cross multiply
    7,126.24x = 9,834 × 3,982.48
  4. Step 4: Simplify right side
    7,126.24x = 39,163,708.32
  5. Step 5: Solve for x
    x = 39,163,708.32/7,126.24
  6. Step 6: Final answer
    x = 5,495.70

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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.