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Finding the Fourth Proportional to 6,096.18, 8,413.10 and 3,443.84

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Solution

The fourth proportional to 6,096.18, 8,413.10 and 3,443.84 is: 4,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.18 : 8,413.10 = 3,443.84 : x
  2. Step 2: Convert to fraction form
    6,096.18/8,413.10 = 3,443.84/x
  3. Step 3: Cross multiply
    6,096.18x = 8,413.10 × 3,443.84
  4. Step 4: Simplify right side
    6,096.18x = 28,973,370.30
  5. Step 5: Solve for x
    x = 28,973,370.30/6,096.18
  6. Step 6: Final answer
    x = 4,752.71

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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.