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Finding the Fourth Proportional to 6,136.02, 9,191.16 and 5,093.64

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Solution

The fourth proportional to 6,136.02, 9,191.16 and 5,093.64 is: 7,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.02 : 9,191.16 = 5,093.64 : x
  2. Step 2: Convert to fraction form
    6,136.02/9,191.16 = 5,093.64/x
  3. Step 3: Cross multiply
    6,136.02x = 9,191.16 × 5,093.64
  4. Step 4: Simplify right side
    6,136.02x = 46,816,460.22
  5. Step 5: Solve for x
    x = 46,816,460.22/6,136.02
  6. Step 6: Final answer
    x = 7,629.78

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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.