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Finding the Fourth Proportional to 8,309.30, 12,468.62 and 4,413.61

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Solution

The fourth proportional to 8,309.30, 12,468.62 and 4,413.61 is: 6,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.30 : 12,468.62 = 4,413.61 : x
  2. Step 2: Convert to fraction form
    8,309.30/12,468.62 = 4,413.61/x
  3. Step 3: Cross multiply
    8,309.30x = 12,468.62 × 4,413.61
  4. Step 4: Simplify right side
    8,309.30x = 55,031,557.58
  5. Step 5: Solve for x
    x = 55,031,557.58/8,309.30
  6. Step 6: Final answer
    x = 6,622.89

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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.