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Finding the Fourth Proportional to 6,143.87, 9,218.81 and 2,859.26

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Solution

The fourth proportional to 6,143.87, 9,218.81 and 2,859.26 is: 4,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.87 : 9,218.81 = 2,859.26 : x
  2. Step 2: Convert to fraction form
    6,143.87/9,218.81 = 2,859.26/x
  3. Step 3: Cross multiply
    6,143.87x = 9,218.81 × 2,859.26
  4. Step 4: Simplify right side
    6,143.87x = 26,358,935.73
  5. Step 5: Solve for x
    x = 26,358,935.73/6,143.87
  6. Step 6: Final answer
    x = 4,290.28

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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.