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Finding the Fourth Proportional to 6,817.92, 9,413.40 and 5,221.76

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Solution

The fourth proportional to 6,817.92, 9,413.40 and 5,221.76 is: 7,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.92 : 9,413.40 = 5,221.76 : x
  2. Step 2: Convert to fraction form
    6,817.92/9,413.40 = 5,221.76/x
  3. Step 3: Cross multiply
    6,817.92x = 9,413.40 × 5,221.76
  4. Step 4: Simplify right side
    6,817.92x = 49,154,515.58
  5. Step 5: Solve for x
    x = 49,154,515.58/6,817.92
  6. Step 6: Final answer
    x = 7,209.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.