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Finding the Fourth Proportional to 7,020.77, 9,680.22 and 5,677.82

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Solution

The fourth proportional to 7,020.77, 9,680.22 and 5,677.82 is: 7,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.77 : 9,680.22 = 5,677.82 : x
  2. Step 2: Convert to fraction form
    7,020.77/9,680.22 = 5,677.82/x
  3. Step 3: Cross multiply
    7,020.77x = 9,680.22 × 5,677.82
  4. Step 4: Simplify right side
    7,020.77x = 54,962,469.93
  5. Step 5: Solve for x
    x = 54,962,469.93/7,020.77
  6. Step 6: Final answer
    x = 7,828.55

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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.