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Finding the Fourth Proportional to 9,761.38, 14,647.90 and 8,967.33

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Solution

The fourth proportional to 9,761.38, 14,647.90 and 8,967.33 is: 13,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.38 : 14,647.90 = 8,967.33 : x
  2. Step 2: Convert to fraction form
    9,761.38/14,647.90 = 8,967.33/x
  3. Step 3: Cross multiply
    9,761.38x = 14,647.90 × 8,967.33
  4. Step 4: Simplify right side
    9,761.38x = 131,352,553.11
  5. Step 5: Solve for x
    x = 131,352,553.11/9,761.38
  6. Step 6: Final answer
    x = 13,456.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.