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Finding the Fourth Proportional to 6,780.82, 9,352.70 and 6,223.09

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Solution

The fourth proportional to 6,780.82, 9,352.70 and 6,223.09 is: 8,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.82 : 9,352.70 = 6,223.09 : x
  2. Step 2: Convert to fraction form
    6,780.82/9,352.70 = 6,223.09/x
  3. Step 3: Cross multiply
    6,780.82x = 9,352.70 × 6,223.09
  4. Step 4: Simplify right side
    6,780.82x = 58,202,693.84
  5. Step 5: Solve for x
    x = 58,202,693.84/6,780.82
  6. Step 6: Final answer
    x = 8,583.43

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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.