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Finding the Fourth Proportional to 6,976.77, 9,627.98 and 4,182.27

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Solution

The fourth proportional to 6,976.77, 9,627.98 and 4,182.27 is: 5,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.77 : 9,627.98 = 4,182.27 : x
  2. Step 2: Convert to fraction form
    6,976.77/9,627.98 = 4,182.27/x
  3. Step 3: Cross multiply
    6,976.77x = 9,627.98 × 4,182.27
  4. Step 4: Simplify right side
    6,976.77x = 40,266,791.00
  5. Step 5: Solve for x
    x = 40,266,791.00/6,976.77
  6. Step 6: Final answer
    x = 5,771.55

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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.