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Finding the Fourth Proportional to 6,143.44, 9,217.08 and 4,684.24

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Solution

The fourth proportional to 6,143.44, 9,217.08 and 4,684.24 is: 7,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.44 : 9,217.08 = 4,684.24 : x
  2. Step 2: Convert to fraction form
    6,143.44/9,217.08 = 4,684.24/x
  3. Step 3: Cross multiply
    6,143.44x = 9,217.08 × 4,684.24
  4. Step 4: Simplify right side
    6,143.44x = 43,175,014.82
  5. Step 5: Solve for x
    x = 43,175,014.82/6,143.44
  6. Step 6: Final answer
    x = 7,027.82

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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.