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Finding the Fourth Proportional to 7,136.18, 9,847.05 and 3,992.30

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Solution

The fourth proportional to 7,136.18, 9,847.05 and 3,992.30 is: 5,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.18 : 9,847.05 = 3,992.30 : x
  2. Step 2: Convert to fraction form
    7,136.18/9,847.05 = 3,992.30/x
  3. Step 3: Cross multiply
    7,136.18x = 9,847.05 × 3,992.30
  4. Step 4: Simplify right side
    7,136.18x = 39,312,377.72
  5. Step 5: Solve for x
    x = 39,312,377.72/7,136.18
  6. Step 6: Final answer
    x = 5,508.88

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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.