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Finding the Fourth Proportional to 7,005.73, 9,667.97 and 3,862.03

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Solution

The fourth proportional to 7,005.73, 9,667.97 and 3,862.03 is: 5,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.73 : 9,667.97 = 3,862.03 : x
  2. Step 2: Convert to fraction form
    7,005.73/9,667.97 = 3,862.03/x
  3. Step 3: Cross multiply
    7,005.73x = 9,667.97 × 3,862.03
  4. Step 4: Simplify right side
    7,005.73x = 37,337,961.18
  5. Step 5: Solve for x
    x = 37,337,961.18/7,005.73
  6. Step 6: Final answer
    x = 5,329.63

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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.