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Finding the Fourth Proportional to 6,208.31, 9,314.49 and 2,508.64

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Solution

The fourth proportional to 6,208.31, 9,314.49 and 2,508.64 is: 3,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.31 : 9,314.49 = 2,508.64 : x
  2. Step 2: Convert to fraction form
    6,208.31/9,314.49 = 2,508.64/x
  3. Step 3: Cross multiply
    6,208.31x = 9,314.49 × 2,508.64
  4. Step 4: Simplify right side
    6,208.31x = 23,366,702.19
  5. Step 5: Solve for x
    x = 23,366,702.19/6,208.31
  6. Step 6: Final answer
    x = 3,763.78

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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.