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Finding the Fourth Proportional to 9,189, 12,680.82 and 4,997.34

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Solution

The fourth proportional to 9,189, 12,680.82 and 4,997.34 is: 6,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189 : 12,680.82 = 4,997.34 : x
  2. Step 2: Convert to fraction form
    9,189/12,680.82 = 4,997.34/x
  3. Step 3: Cross multiply
    9,189x = 12,680.82 × 4,997.34
  4. Step 4: Simplify right side
    9,189x = 63,370,369.02
  5. Step 5: Solve for x
    x = 63,370,369.02/9,189
  6. Step 6: Final answer
    x = 6,896.33

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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.