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Finding the Fourth Proportional to 7,136.91, 9,849.67 and 4,112.13

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Solution

The fourth proportional to 7,136.91, 9,849.67 and 4,112.13 is: 5,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.91 : 9,849.67 = 4,112.13 : x
  2. Step 2: Convert to fraction form
    7,136.91/9,849.67 = 4,112.13/x
  3. Step 3: Cross multiply
    7,136.91x = 9,849.67 × 4,112.13
  4. Step 4: Simplify right side
    7,136.91x = 40,503,123.50
  5. Step 5: Solve for x
    x = 40,503,123.50/7,136.91
  6. Step 6: Final answer
    x = 5,675.16

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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.