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Finding the Fourth Proportional to 9,278.41, 12,796.77 and 8,156.97

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Solution

The fourth proportional to 9,278.41, 12,796.77 and 8,156.97 is: 11,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.41 : 12,796.77 = 8,156.97 : x
  2. Step 2: Convert to fraction form
    9,278.41/12,796.77 = 8,156.97/x
  3. Step 3: Cross multiply
    9,278.41x = 12,796.77 × 8,156.97
  4. Step 4: Simplify right side
    9,278.41x = 104,382,764.22
  5. Step 5: Solve for x
    x = 104,382,764.22/9,278.41
  6. Step 6: Final answer
    x = 11,250.07

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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.