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Finding the Fourth Proportional to 6,136.11, 9,190.61 and 4,739.31

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Solution

The fourth proportional to 6,136.11, 9,190.61 and 4,739.31 is: 7,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.11 : 9,190.61 = 4,739.31 : x
  2. Step 2: Convert to fraction form
    6,136.11/9,190.61 = 4,739.31/x
  3. Step 3: Cross multiply
    6,136.11x = 9,190.61 × 4,739.31
  4. Step 4: Simplify right side
    6,136.11x = 43,557,126.18
  5. Step 5: Solve for x
    x = 43,557,126.18/6,136.11
  6. Step 6: Final answer
    x = 7,098.49

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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.