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Finding the Fourth Proportional to 6,413.27, 9,606.39 and 5,435.94

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Solution

The fourth proportional to 6,413.27, 9,606.39 and 5,435.94 is: 8,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.27 : 9,606.39 = 5,435.94 : x
  2. Step 2: Convert to fraction form
    6,413.27/9,606.39 = 5,435.94/x
  3. Step 3: Cross multiply
    6,413.27x = 9,606.39 × 5,435.94
  4. Step 4: Simplify right side
    6,413.27x = 52,219,759.66
  5. Step 5: Solve for x
    x = 52,219,759.66/6,413.27
  6. Step 6: Final answer
    x = 8,142.45

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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.