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Finding the Fourth Proportional to 7,211.17, 9,952.41 and 4,227.74

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Solution

The fourth proportional to 7,211.17, 9,952.41 and 4,227.74 is: 5,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.17 : 9,952.41 = 4,227.74 : x
  2. Step 2: Convert to fraction form
    7,211.17/9,952.41 = 4,227.74/x
  3. Step 3: Cross multiply
    7,211.17x = 9,952.41 × 4,227.74
  4. Step 4: Simplify right side
    7,211.17x = 42,076,201.85
  5. Step 5: Solve for x
    x = 42,076,201.85/7,211.17
  6. Step 6: Final answer
    x = 5,834.86

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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.