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Finding the Fourth Proportional to 7,136.96, 9,849 and 4,151.68

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Solution

The fourth proportional to 7,136.96, 9,849 and 4,151.68 is: 5,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.96 : 9,849 = 4,151.68 : x
  2. Step 2: Convert to fraction form
    7,136.96/9,849 = 4,151.68/x
  3. Step 3: Cross multiply
    7,136.96x = 9,849 × 4,151.68
  4. Step 4: Simplify right side
    7,136.96x = 40,889,896.32
  5. Step 5: Solve for x
    x = 40,889,896.32/7,136.96
  6. Step 6: Final answer
    x = 5,729.32

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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.