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Finding the Fourth Proportional to 6,202.90, 9,283.56 and 5,092.26

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Solution

The fourth proportional to 6,202.90, 9,283.56 and 5,092.26 is: 7,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.90 : 9,283.56 = 5,092.26 : x
  2. Step 2: Convert to fraction form
    6,202.90/9,283.56 = 5,092.26/x
  3. Step 3: Cross multiply
    6,202.90x = 9,283.56 × 5,092.26
  4. Step 4: Simplify right side
    6,202.90x = 47,274,229.37
  5. Step 5: Solve for x
    x = 47,274,229.37/6,202.90
  6. Step 6: Final answer
    x = 7,621.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.