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Finding the Fourth Proportional to 9,136.85, 12,608.26 and 5,157.42

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Solution

The fourth proportional to 9,136.85, 12,608.26 and 5,157.42 is: 7,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.85 : 12,608.26 = 5,157.42 : x
  2. Step 2: Convert to fraction form
    9,136.85/12,608.26 = 5,157.42/x
  3. Step 3: Cross multiply
    9,136.85x = 12,608.26 × 5,157.42
  4. Step 4: Simplify right side
    9,136.85x = 65,026,092.29
  5. Step 5: Solve for x
    x = 65,026,092.29/9,136.85
  6. Step 6: Final answer
    x = 7,116.90

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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.