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Finding the Fourth Proportional to 6,113.61, 9,169.20 and 2,992.28

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Solution

The fourth proportional to 6,113.61, 9,169.20 and 2,992.28 is: 4,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.61 : 9,169.20 = 2,992.28 : x
  2. Step 2: Convert to fraction form
    6,113.61/9,169.20 = 2,992.28/x
  3. Step 3: Cross multiply
    6,113.61x = 9,169.20 × 2,992.28
  4. Step 4: Simplify right side
    6,113.61x = 27,436,767.93
  5. Step 5: Solve for x
    x = 27,436,767.93/6,113.61
  6. Step 6: Final answer
    x = 4,487.82

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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.