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Finding the Fourth Proportional to 9,206.86, 12,705.01 and 5,227.43

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Solution

The fourth proportional to 9,206.86, 12,705.01 and 5,227.43 is: 7,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.86 : 12,705.01 = 5,227.43 : x
  2. Step 2: Convert to fraction form
    9,206.86/12,705.01 = 5,227.43/x
  3. Step 3: Cross multiply
    9,206.86x = 12,705.01 × 5,227.43
  4. Step 4: Simplify right side
    9,206.86x = 66,414,550.42
  5. Step 5: Solve for x
    x = 66,414,550.42/9,206.86
  6. Step 6: Final answer
    x = 7,213.59

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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.