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Finding the Fourth Proportional to 6,149.51, 9,224.26 and 2,254.22

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Solution

The fourth proportional to 6,149.51, 9,224.26 and 2,254.22 is: 3,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.51 : 9,224.26 = 2,254.22 : x
  2. Step 2: Convert to fraction form
    6,149.51/9,224.26 = 2,254.22/x
  3. Step 3: Cross multiply
    6,149.51x = 9,224.26 × 2,254.22
  4. Step 4: Simplify right side
    6,149.51x = 20,793,511.38
  5. Step 5: Solve for x
    x = 20,793,511.38/6,149.51
  6. Step 6: Final answer
    x = 3,381.33

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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.