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Finding the Fourth Proportional to 6,857.73, 9,462.07 and 4,024.96

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Solution

The fourth proportional to 6,857.73, 9,462.07 and 4,024.96 is: 5,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.73 : 9,462.07 = 4,024.96 : x
  2. Step 2: Convert to fraction form
    6,857.73/9,462.07 = 4,024.96/x
  3. Step 3: Cross multiply
    6,857.73x = 9,462.07 × 4,024.96
  4. Step 4: Simplify right side
    6,857.73x = 38,084,453.27
  5. Step 5: Solve for x
    x = 38,084,453.27/6,857.73
  6. Step 6: Final answer
    x = 5,553.51

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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.