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Finding the Fourth Proportional to 6,702.43, 9,249.77 and 3,870.33

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Solution

The fourth proportional to 6,702.43, 9,249.77 and 3,870.33 is: 5,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.43 : 9,249.77 = 3,870.33 : x
  2. Step 2: Convert to fraction form
    6,702.43/9,249.77 = 3,870.33/x
  3. Step 3: Cross multiply
    6,702.43x = 9,249.77 × 3,870.33
  4. Step 4: Simplify right side
    6,702.43x = 35,799,662.32
  5. Step 5: Solve for x
    x = 35,799,662.32/6,702.43
  6. Step 6: Final answer
    x = 5,341.30

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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.