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Finding the Fourth Proportional to 9,261.06, 12,786.22 and 8,264.62

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Solution

The fourth proportional to 9,261.06, 12,786.22 and 8,264.62 is: 11,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.06 : 12,786.22 = 8,264.62 : x
  2. Step 2: Convert to fraction form
    9,261.06/12,786.22 = 8,264.62/x
  3. Step 3: Cross multiply
    9,261.06x = 12,786.22 × 8,264.62
  4. Step 4: Simplify right side
    9,261.06x = 105,673,249.54
  5. Step 5: Solve for x
    x = 105,673,249.54/9,261.06
  6. Step 6: Final answer
    x = 11,410.49

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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.