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Finding the Fourth Proportional to 9,136.52, 12,608.42 and 4,944.80

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Solution

The fourth proportional to 9,136.52, 12,608.42 and 4,944.80 is: 6,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.52 : 12,608.42 = 4,944.80 : x
  2. Step 2: Convert to fraction form
    9,136.52/12,608.42 = 4,944.80/x
  3. Step 3: Cross multiply
    9,136.52x = 12,608.42 × 4,944.80
  4. Step 4: Simplify right side
    9,136.52x = 62,346,115.22
  5. Step 5: Solve for x
    x = 62,346,115.22/9,136.52
  6. Step 6: Final answer
    x = 6,823.84

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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.