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Finding the Fourth Proportional to 7,083.82, 9,774.56 and 3,940.01

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Solution

The fourth proportional to 7,083.82, 9,774.56 and 3,940.01 is: 5,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.82 : 9,774.56 = 3,940.01 : x
  2. Step 2: Convert to fraction form
    7,083.82/9,774.56 = 3,940.01/x
  3. Step 3: Cross multiply
    7,083.82x = 9,774.56 × 3,940.01
  4. Step 4: Simplify right side
    7,083.82x = 38,511,795.57
  5. Step 5: Solve for x
    x = 38,511,795.57/7,083.82
  6. Step 6: Final answer
    x = 5,436.59

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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.