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Finding the Fourth Proportional to 9,413.48, 14,137.77 and 8,288.14

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Solution

The fourth proportional to 9,413.48, 14,137.77 and 8,288.14 is: 12,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.48 : 14,137.77 = 8,288.14 : x
  2. Step 2: Convert to fraction form
    9,413.48/14,137.77 = 8,288.14/x
  3. Step 3: Cross multiply
    9,413.48x = 14,137.77 × 8,288.14
  4. Step 4: Simplify right side
    9,413.48x = 117,175,781.70
  5. Step 5: Solve for x
    x = 117,175,781.70/9,413.48
  6. Step 6: Final answer
    x = 12,447.65

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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.