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Finding the Fourth Proportional to 9,136.74, 12,608.70 and 4,944.98

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Solution

The fourth proportional to 9,136.74, 12,608.70 and 4,944.98 is: 6,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.74 : 12,608.70 = 4,944.98 : x
  2. Step 2: Convert to fraction form
    9,136.74/12,608.70 = 4,944.98/x
  3. Step 3: Cross multiply
    9,136.74x = 12,608.70 × 4,944.98
  4. Step 4: Simplify right side
    9,136.74x = 62,349,769.33
  5. Step 5: Solve for x
    x = 62,349,769.33/9,136.74
  6. Step 6: Final answer
    x = 6,824.07

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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.