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Finding the Fourth Proportional to 9,718.44, 14,560.38 and 8,413.80

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Solution

The fourth proportional to 9,718.44, 14,560.38 and 8,413.80 is: 12,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.44 : 14,560.38 = 8,413.80 : x
  2. Step 2: Convert to fraction form
    9,718.44/14,560.38 = 8,413.80/x
  3. Step 3: Cross multiply
    9,718.44x = 14,560.38 × 8,413.80
  4. Step 4: Simplify right side
    9,718.44x = 122,508,125.24
  5. Step 5: Solve for x
    x = 122,508,125.24/9,718.44
  6. Step 6: Final answer
    x = 12,605.74

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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.