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Finding the Fourth Proportional to 9,961.97, 13,745.52 and 7,571.31

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Solution

The fourth proportional to 9,961.97, 13,745.52 and 7,571.31 is: 10,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.97 : 13,745.52 = 7,571.31 : x
  2. Step 2: Convert to fraction form
    9,961.97/13,745.52 = 7,571.31/x
  3. Step 3: Cross multiply
    9,961.97x = 13,745.52 × 7,571.31
  4. Step 4: Simplify right side
    9,961.97x = 104,071,620.77
  5. Step 5: Solve for x
    x = 104,071,620.77/9,961.97
  6. Step 6: Final answer
    x = 10,446.89

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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.