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Finding the Fourth Proportional to 6,096.84, 8,413.17 and 3,444.48

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Solution

The fourth proportional to 6,096.84, 8,413.17 and 3,444.48 is: 4,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.84 : 8,413.17 = 3,444.48 : x
  2. Step 2: Convert to fraction form
    6,096.84/8,413.17 = 3,444.48/x
  3. Step 3: Cross multiply
    6,096.84x = 8,413.17 × 3,444.48
  4. Step 4: Simplify right side
    6,096.84x = 28,978,995.80
  5. Step 5: Solve for x
    x = 28,978,995.80/6,096.84
  6. Step 6: Final answer
    x = 4,753.12

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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.