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Finding the Fourth Proportional to 9,296.73, 12,823.85 and 5,517.41

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Solution

The fourth proportional to 9,296.73, 12,823.85 and 5,517.41 is: 7,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.73 : 12,823.85 = 5,517.41 : x
  2. Step 2: Convert to fraction form
    9,296.73/12,823.85 = 5,517.41/x
  3. Step 3: Cross multiply
    9,296.73x = 12,823.85 × 5,517.41
  4. Step 4: Simplify right side
    9,296.73x = 70,754,438.23
  5. Step 5: Solve for x
    x = 70,754,438.23/9,296.73
  6. Step 6: Final answer
    x = 7,610.68

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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.