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Finding the Fourth Proportional to 6,202.84, 9,283.46 and 5,092.19

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Solution

The fourth proportional to 6,202.84, 9,283.46 and 5,092.19 is: 7,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.84 : 9,283.46 = 5,092.19 : x
  2. Step 2: Convert to fraction form
    6,202.84/9,283.46 = 5,092.19/x
  3. Step 3: Cross multiply
    6,202.84x = 9,283.46 × 5,092.19
  4. Step 4: Simplify right side
    6,202.84x = 47,273,142.18
  5. Step 5: Solve for x
    x = 47,273,142.18/6,202.84
  6. Step 6: Final answer
    x = 7,621.22

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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.