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Finding the Fourth Proportional to 6,968.57, 9,613.49 and 4,136.07

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Solution

The fourth proportional to 6,968.57, 9,613.49 and 4,136.07 is: 5,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.57 : 9,613.49 = 4,136.07 : x
  2. Step 2: Convert to fraction form
    6,968.57/9,613.49 = 4,136.07/x
  3. Step 3: Cross multiply
    6,968.57x = 9,613.49 × 4,136.07
  4. Step 4: Simplify right side
    6,968.57x = 39,762,077.92
  5. Step 5: Solve for x
    x = 39,762,077.92/6,968.57
  6. Step 6: Final answer
    x = 5,705.91

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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.