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Finding the Fourth Proportional to 6,096.81, 8,413.70 and 3,444.33

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Solution

The fourth proportional to 6,096.81, 8,413.70 and 3,444.33 is: 4,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.81 : 8,413.70 = 3,444.33 : x
  2. Step 2: Convert to fraction form
    6,096.81/8,413.70 = 3,444.33/x
  3. Step 3: Cross multiply
    6,096.81x = 8,413.70 × 3,444.33
  4. Step 4: Simplify right side
    6,096.81x = 28,979,542.10
  5. Step 5: Solve for x
    x = 28,979,542.10/6,096.81
  6. Step 6: Final answer
    x = 4,753.23

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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.