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Finding the Fourth Proportional to 9,136.53, 12,608.64 and 5,157.72

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Solution

The fourth proportional to 9,136.53, 12,608.64 and 5,157.72 is: 7,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.53 : 12,608.64 = 5,157.72 : x
  2. Step 2: Convert to fraction form
    9,136.53/12,608.64 = 5,157.72/x
  3. Step 3: Cross multiply
    9,136.53x = 12,608.64 × 5,157.72
  4. Step 4: Simplify right side
    9,136.53x = 65,031,834.70
  5. Step 5: Solve for x
    x = 65,031,834.70/9,136.53
  6. Step 6: Final answer
    x = 7,117.78

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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.