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Finding the Fourth Proportional to 9,745.98, 13,451.67 and 5,769.42

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Solution

The fourth proportional to 9,745.98, 13,451.67 and 5,769.42 is: 7,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.98 : 13,451.67 = 5,769.42 : x
  2. Step 2: Convert to fraction form
    9,745.98/13,451.67 = 5,769.42/x
  3. Step 3: Cross multiply
    9,745.98x = 13,451.67 × 5,769.42
  4. Step 4: Simplify right side
    9,745.98x = 77,608,333.93
  5. Step 5: Solve for x
    x = 77,608,333.93/9,745.98
  6. Step 6: Final answer
    x = 7,963.11

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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.