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Finding the Fourth Proportional to 7,208.73, 9,948.82 and 4,227.08

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Solution

The fourth proportional to 7,208.73, 9,948.82 and 4,227.08 is: 5,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.73 : 9,948.82 = 4,227.08 : x
  2. Step 2: Convert to fraction form
    7,208.73/9,948.82 = 4,227.08/x
  3. Step 3: Cross multiply
    7,208.73x = 9,948.82 × 4,227.08
  4. Step 4: Simplify right side
    7,208.73x = 42,054,408.30
  5. Step 5: Solve for x
    x = 42,054,408.30/7,208.73
  6. Step 6: Final answer
    x = 5,833.82

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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.