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Finding the Fourth Proportional to 7,234.82, 9,984.17 and 4,251.05

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Solution

The fourth proportional to 7,234.82, 9,984.17 and 4,251.05 is: 5,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.82 : 9,984.17 = 4,251.05 : x
  2. Step 2: Convert to fraction form
    7,234.82/9,984.17 = 4,251.05/x
  3. Step 3: Cross multiply
    7,234.82x = 9,984.17 × 4,251.05
  4. Step 4: Simplify right side
    7,234.82x = 42,443,184.62
  5. Step 5: Solve for x
    x = 42,443,184.62/7,234.82
  6. Step 6: Final answer
    x = 5,866.52

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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.