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Finding the Fourth Proportional to 6,143.84, 9,214.24 and 2,633.45

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Solution

The fourth proportional to 6,143.84, 9,214.24 and 2,633.45 is: 3,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.84 : 9,214.24 = 2,633.45 : x
  2. Step 2: Convert to fraction form
    6,143.84/9,214.24 = 2,633.45/x
  3. Step 3: Cross multiply
    6,143.84x = 9,214.24 × 2,633.45
  4. Step 4: Simplify right side
    6,143.84x = 24,265,266.66
  5. Step 5: Solve for x
    x = 24,265,266.66/6,143.84
  6. Step 6: Final answer
    x = 3,949.53

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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.