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Finding the Fourth Proportional to 6,143.57, 9,214.44 and 3,022.74

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Solution

The fourth proportional to 6,143.57, 9,214.44 and 3,022.74 is: 4,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.57 : 9,214.44 = 3,022.74 : x
  2. Step 2: Convert to fraction form
    6,143.57/9,214.44 = 3,022.74/x
  3. Step 3: Cross multiply
    6,143.57x = 9,214.44 × 3,022.74
  4. Step 4: Simplify right side
    6,143.57x = 27,852,856.37
  5. Step 5: Solve for x
    x = 27,852,856.37/6,143.57
  6. Step 6: Final answer
    x = 4,533.66

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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.