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Finding the Fourth Proportional to 9,278.17, 12,796.41 and 8,156.71

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Solution

The fourth proportional to 9,278.17, 12,796.41 and 8,156.71 is: 11,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.17 : 12,796.41 = 8,156.71 : x
  2. Step 2: Convert to fraction form
    9,278.17/12,796.41 = 8,156.71/x
  3. Step 3: Cross multiply
    9,278.17x = 12,796.41 × 8,156.71
  4. Step 4: Simplify right side
    9,278.17x = 104,376,605.41
  5. Step 5: Solve for x
    x = 104,376,605.41/9,278.17
  6. Step 6: Final answer
    x = 11,249.70

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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.