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Finding the Fourth Proportional to 6,143.90, 9,218.72 and 3,020.54

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Solution

The fourth proportional to 6,143.90, 9,218.72 and 3,020.54 is: 4,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.90 : 9,218.72 = 3,020.54 : x
  2. Step 2: Convert to fraction form
    6,143.90/9,218.72 = 3,020.54/x
  3. Step 3: Cross multiply
    6,143.90x = 9,218.72 × 3,020.54
  4. Step 4: Simplify right side
    6,143.90x = 27,845,473.97
  5. Step 5: Solve for x
    x = 27,845,473.97/6,143.90
  6. Step 6: Final answer
    x = 4,532.22

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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.