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Finding the Fourth Proportional to 6,143.99, 9,215.91 and 2,855.25

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Solution

The fourth proportional to 6,143.99, 9,215.91 and 2,855.25 is: 4,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.99 : 9,215.91 = 2,855.25 : x
  2. Step 2: Convert to fraction form
    6,143.99/9,215.91 = 2,855.25/x
  3. Step 3: Cross multiply
    6,143.99x = 9,215.91 × 2,855.25
  4. Step 4: Simplify right side
    6,143.99x = 26,313,727.03
  5. Step 5: Solve for x
    x = 26,313,727.03/6,143.99
  6. Step 6: Final answer
    x = 4,282.84

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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.