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Finding the Fourth Proportional to 7,126.02, 9,833.74 and 3,982.82

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Solution

The fourth proportional to 7,126.02, 9,833.74 and 3,982.82 is: 5,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.02 : 9,833.74 = 3,982.82 : x
  2. Step 2: Convert to fraction form
    7,126.02/9,833.74 = 3,982.82/x
  3. Step 3: Cross multiply
    7,126.02x = 9,833.74 × 3,982.82
  4. Step 4: Simplify right side
    7,126.02x = 39,165,957.22
  5. Step 5: Solve for x
    x = 39,165,957.22/7,126.02
  6. Step 6: Final answer
    x = 5,496.19

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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.