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Finding the Fourth Proportional to 6,961.49, 10,444.17 and 3,214.43

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Solution

The fourth proportional to 6,961.49, 10,444.17 and 3,214.43 is: 4,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.49 : 10,444.17 = 3,214.43 : x
  2. Step 2: Convert to fraction form
    6,961.49/10,444.17 = 3,214.43/x
  3. Step 3: Cross multiply
    6,961.49x = 10,444.17 × 3,214.43
  4. Step 4: Simplify right side
    6,961.49x = 33,572,023.00
  5. Step 5: Solve for x
    x = 33,572,023.00/6,961.49
  6. Step 6: Final answer
    x = 4,822.53

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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.