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Finding the Fourth Proportional to 9,396.96, 14,062.81 and 5,837.62

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Solution

The fourth proportional to 9,396.96, 14,062.81 and 5,837.62 is: 8,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.96 : 14,062.81 = 5,837.62 : x
  2. Step 2: Convert to fraction form
    9,396.96/14,062.81 = 5,837.62/x
  3. Step 3: Cross multiply
    9,396.96x = 14,062.81 × 5,837.62
  4. Step 4: Simplify right side
    9,396.96x = 82,093,340.91
  5. Step 5: Solve for x
    x = 82,093,340.91/9,396.96
  6. Step 6: Final answer
    x = 8,736.16

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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.