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Finding the Fourth Proportional to 8,271.35, 12,395.33 and 6,413.82

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Solution

The fourth proportional to 8,271.35, 12,395.33 and 6,413.82 is: 9,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.35 : 12,395.33 = 6,413.82 : x
  2. Step 2: Convert to fraction form
    8,271.35/12,395.33 = 6,413.82/x
  3. Step 3: Cross multiply
    8,271.35x = 12,395.33 × 6,413.82
  4. Step 4: Simplify right side
    8,271.35x = 79,501,360.96
  5. Step 5: Solve for x
    x = 79,501,360.96/8,271.35
  6. Step 6: Final answer
    x = 9,611.66

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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.