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Finding the Fourth Proportional to 6,136.43, 9,201.80 and 3,670.58

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Solution

The fourth proportional to 6,136.43, 9,201.80 and 3,670.58 is: 5,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.43 : 9,201.80 = 3,670.58 : x
  2. Step 2: Convert to fraction form
    6,136.43/9,201.80 = 3,670.58/x
  3. Step 3: Cross multiply
    6,136.43x = 9,201.80 × 3,670.58
  4. Step 4: Simplify right side
    6,136.43x = 33,775,975.22
  5. Step 5: Solve for x
    x = 33,775,975.22/6,136.43
  6. Step 6: Final answer
    x = 5,504.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.