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Finding the Fourth Proportional to 6,234.68, 9,350.16 and 5,136.32

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Solution

The fourth proportional to 6,234.68, 9,350.16 and 5,136.32 is: 7,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.68 : 9,350.16 = 5,136.32 : x
  2. Step 2: Convert to fraction form
    6,234.68/9,350.16 = 5,136.32/x
  3. Step 3: Cross multiply
    6,234.68x = 9,350.16 × 5,136.32
  4. Step 4: Simplify right side
    6,234.68x = 48,025,413.81
  5. Step 5: Solve for x
    x = 48,025,413.81/6,234.68
  6. Step 6: Final answer
    x = 7,702.95

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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.