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Finding the Fourth Proportional to 6,278.92, 9,411.81 and 2,117.49

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Solution

The fourth proportional to 6,278.92, 9,411.81 and 2,117.49 is: 3,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.92 : 9,411.81 = 2,117.49 : x
  2. Step 2: Convert to fraction form
    6,278.92/9,411.81 = 2,117.49/x
  3. Step 3: Cross multiply
    6,278.92x = 9,411.81 × 2,117.49
  4. Step 4: Simplify right side
    6,278.92x = 19,929,413.56
  5. Step 5: Solve for x
    x = 19,929,413.56/6,278.92
  6. Step 6: Final answer
    x = 3,174.02

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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.