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Finding the Fourth Proportional to 6,185.22, 9,261.09 and 4,529.22

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Solution

The fourth proportional to 6,185.22, 9,261.09 and 4,529.22 is: 6,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.22 : 9,261.09 = 4,529.22 : x
  2. Step 2: Convert to fraction form
    6,185.22/9,261.09 = 4,529.22/x
  3. Step 3: Cross multiply
    6,185.22x = 9,261.09 × 4,529.22
  4. Step 4: Simplify right side
    6,185.22x = 41,945,514.05
  5. Step 5: Solve for x
    x = 41,945,514.05/6,185.22
  6. Step 6: Final answer
    x = 6,781.57

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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.