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Finding the Fourth Proportional to 6,042.75, 9,064.13 and 2,147.31

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Solution

The fourth proportional to 6,042.75, 9,064.13 and 2,147.31 is: 3,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.75 : 9,064.13 = 2,147.31 : x
  2. Step 2: Convert to fraction form
    6,042.75/9,064.13 = 2,147.31/x
  3. Step 3: Cross multiply
    6,042.75x = 9,064.13 × 2,147.31
  4. Step 4: Simplify right side
    6,042.75x = 19,463,486.25
  5. Step 5: Solve for x
    x = 19,463,486.25/6,042.75
  6. Step 6: Final answer
    x = 3,220.97

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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.