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Finding the Fourth Proportional to 8,193.54, 12,294.36 and 3,805.77

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Solution

The fourth proportional to 8,193.54, 12,294.36 and 3,805.77 is: 5,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.54 : 12,294.36 = 3,805.77 : x
  2. Step 2: Convert to fraction form
    8,193.54/12,294.36 = 3,805.77/x
  3. Step 3: Cross multiply
    8,193.54x = 12,294.36 × 3,805.77
  4. Step 4: Simplify right side
    8,193.54x = 46,789,506.46
  5. Step 5: Solve for x
    x = 46,789,506.46/8,193.54
  6. Step 6: Final answer
    x = 5,710.54

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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.