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Finding the Fourth Proportional to 6,202.14, 8,563.49 and 4,310.56

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Solution

The fourth proportional to 6,202.14, 8,563.49 and 4,310.56 is: 5,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.14 : 8,563.49 = 4,310.56 : x
  2. Step 2: Convert to fraction form
    6,202.14/8,563.49 = 4,310.56/x
  3. Step 3: Cross multiply
    6,202.14x = 8,563.49 × 4,310.56
  4. Step 4: Simplify right side
    6,202.14x = 36,913,437.45
  5. Step 5: Solve for x
    x = 36,913,437.45/6,202.14
  6. Step 6: Final answer
    x = 5,951.73

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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.