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Finding the Fourth Proportional to 9,262.86, 12,788.72 and 8,266.44

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Solution

The fourth proportional to 9,262.86, 12,788.72 and 8,266.44 is: 11,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.86 : 12,788.72 = 8,266.44 : x
  2. Step 2: Convert to fraction form
    9,262.86/12,788.72 = 8,266.44/x
  3. Step 3: Cross multiply
    9,262.86x = 12,788.72 × 8,266.44
  4. Step 4: Simplify right side
    9,262.86x = 105,717,186.56
  5. Step 5: Solve for x
    x = 105,717,186.56/9,262.86
  6. Step 6: Final answer
    x = 11,413.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.