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Finding the Fourth Proportional to 6,227.40, 9,341.07 and 1,845.20

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Solution

The fourth proportional to 6,227.40, 9,341.07 and 1,845.20 is: 2,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.40 : 9,341.07 = 1,845.20 : x
  2. Step 2: Convert to fraction form
    6,227.40/9,341.07 = 1,845.20/x
  3. Step 3: Cross multiply
    6,227.40x = 9,341.07 × 1,845.20
  4. Step 4: Simplify right side
    6,227.40x = 17,236,095.66
  5. Step 5: Solve for x
    x = 17,236,095.66/6,227.40
  6. Step 6: Final answer
    x = 2,767.78

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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.