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Finding the Fourth Proportional to 6,091.13, 9,136.53 and 1,649.22

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Solution

The fourth proportional to 6,091.13, 9,136.53 and 1,649.22 is: 2,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.13 : 9,136.53 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    6,091.13/9,136.53 = 1,649.22/x
  3. Step 3: Cross multiply
    6,091.13x = 9,136.53 × 1,649.22
  4. Step 4: Simplify right side
    6,091.13x = 15,068,148.01
  5. Step 5: Solve for x
    x = 15,068,148.01/6,091.13
  6. Step 6: Final answer
    x = 2,473.79

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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.