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Finding the Fourth Proportional to 7,111.94, 9,781.66 and 6,226.20

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Solution

The fourth proportional to 7,111.94, 9,781.66 and 6,226.20 is: 8,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.94 : 9,781.66 = 6,226.20 : x
  2. Step 2: Convert to fraction form
    7,111.94/9,781.66 = 6,226.20/x
  3. Step 3: Cross multiply
    7,111.94x = 9,781.66 × 6,226.20
  4. Step 4: Simplify right side
    7,111.94x = 60,902,571.49
  5. Step 5: Solve for x
    x = 60,902,571.49/7,111.94
  6. Step 6: Final answer
    x = 8,563.43

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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.