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Finding the Fourth Proportional to 6,954.31, 10,369.43 and 6,181.57

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Solution

The fourth proportional to 6,954.31, 10,369.43 and 6,181.57 is: 9,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.31 : 10,369.43 = 6,181.57 : x
  2. Step 2: Convert to fraction form
    6,954.31/10,369.43 = 6,181.57/x
  3. Step 3: Cross multiply
    6,954.31x = 10,369.43 × 6,181.57
  4. Step 4: Simplify right side
    6,954.31x = 64,099,346.94
  5. Step 5: Solve for x
    x = 64,099,346.94/6,954.31
  6. Step 6: Final answer
    x = 9,217.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.