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Finding the Fourth Proportional to 7,229.55, 9,976.97 and 4,042.74

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Solution

The fourth proportional to 7,229.55, 9,976.97 and 4,042.74 is: 5,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.55 : 9,976.97 = 4,042.74 : x
  2. Step 2: Convert to fraction form
    7,229.55/9,976.97 = 4,042.74/x
  3. Step 3: Cross multiply
    7,229.55x = 9,976.97 × 4,042.74
  4. Step 4: Simplify right side
    7,229.55x = 40,334,343.22
  5. Step 5: Solve for x
    x = 40,334,343.22/7,229.55
  6. Step 6: Final answer
    x = 5,579.09

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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.