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Finding the Fourth Proportional to 6,976.49, 9,627.63 and 3,789.82

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Solution

The fourth proportional to 6,976.49, 9,627.63 and 3,789.82 is: 5,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.49 : 9,627.63 = 3,789.82 : x
  2. Step 2: Convert to fraction form
    6,976.49/9,627.63 = 3,789.82/x
  3. Step 3: Cross multiply
    6,976.49x = 9,627.63 × 3,789.82
  4. Step 4: Simplify right side
    6,976.49x = 36,487,014.53
  5. Step 5: Solve for x
    x = 36,487,014.53/6,976.49
  6. Step 6: Final answer
    x = 5,230.00

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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.