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Finding the Fourth Proportional to 9,136.41, 12,608.19 and 5,157.42

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Solution

The fourth proportional to 9,136.41, 12,608.19 and 5,157.42 is: 7,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.41 : 12,608.19 = 5,157.42 : x
  2. Step 2: Convert to fraction form
    9,136.41/12,608.19 = 5,157.42/x
  3. Step 3: Cross multiply
    9,136.41x = 12,608.19 × 5,157.42
  4. Step 4: Simplify right side
    9,136.41x = 65,025,731.27
  5. Step 5: Solve for x
    x = 65,025,731.27/9,136.41
  6. Step 6: Final answer
    x = 7,117.21

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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.