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Finding the Fourth Proportional to 9,213.92, 12,705.15 and 6,224.56

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Solution

The fourth proportional to 9,213.92, 12,705.15 and 6,224.56 is: 8,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.92 : 12,705.15 = 6,224.56 : x
  2. Step 2: Convert to fraction form
    9,213.92/12,705.15 = 6,224.56/x
  3. Step 3: Cross multiply
    9,213.92x = 12,705.15 × 6,224.56
  4. Step 4: Simplify right side
    9,213.92x = 79,083,904.96
  5. Step 5: Solve for x
    x = 79,083,904.96/9,213.92
  6. Step 6: Final answer
    x = 8,583.09

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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.