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Finding the Fourth Proportional to 6,227.76, 9,341.82 and 2,942.40

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Solution

The fourth proportional to 6,227.76, 9,341.82 and 2,942.40 is: 4,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.76 : 9,341.82 = 2,942.40 : x
  2. Step 2: Convert to fraction form
    6,227.76/9,341.82 = 2,942.40/x
  3. Step 3: Cross multiply
    6,227.76x = 9,341.82 × 2,942.40
  4. Step 4: Simplify right side
    6,227.76x = 27,487,371.17
  5. Step 5: Solve for x
    x = 27,487,371.17/6,227.76
  6. Step 6: Final answer
    x = 4,413.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.