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Finding the Fourth Proportional to 6,702.89, 9,249.46 and 3,677.49

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Solution

The fourth proportional to 6,702.89, 9,249.46 and 3,677.49 is: 5,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.89 : 9,249.46 = 3,677.49 : x
  2. Step 2: Convert to fraction form
    6,702.89/9,249.46 = 3,677.49/x
  3. Step 3: Cross multiply
    6,702.89x = 9,249.46 × 3,677.49
  4. Step 4: Simplify right side
    6,702.89x = 34,014,787.46
  5. Step 5: Solve for x
    x = 34,014,787.46/6,702.89
  6. Step 6: Final answer
    x = 5,074.65

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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.