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Finding the Fourth Proportional to 8,193.79, 12,294.74 and 3,806.02

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Solution

The fourth proportional to 8,193.79, 12,294.74 and 3,806.02 is: 5,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.79 : 12,294.74 = 3,806.02 : x
  2. Step 2: Convert to fraction form
    8,193.79/12,294.74 = 3,806.02/x
  3. Step 3: Cross multiply
    8,193.79x = 12,294.74 × 3,806.02
  4. Step 4: Simplify right side
    8,193.79x = 46,794,026.33
  5. Step 5: Solve for x
    x = 46,794,026.33/8,193.79
  6. Step 6: Final answer
    x = 5,710.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.