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Finding the Fourth Proportional to 9,136.35, 12,608.16 and 5,158.29

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Solution

The fourth proportional to 9,136.35, 12,608.16 and 5,158.29 is: 7,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.35 : 12,608.16 = 5,158.29 : x
  2. Step 2: Convert to fraction form
    9,136.35/12,608.16 = 5,158.29/x
  3. Step 3: Cross multiply
    9,136.35x = 12,608.16 × 5,158.29
  4. Step 4: Simplify right side
    9,136.35x = 65,036,545.65
  5. Step 5: Solve for x
    x = 65,036,545.65/9,136.35
  6. Step 6: Final answer
    x = 7,118.44

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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.