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Finding the Fourth Proportional to 9,165.78, 12,616.83 and 7,910.82

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Solution

The fourth proportional to 9,165.78, 12,616.83 and 7,910.82 is: 10,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.78 : 12,616.83 = 7,910.82 : x
  2. Step 2: Convert to fraction form
    9,165.78/12,616.83 = 7,910.82/x
  3. Step 3: Cross multiply
    9,165.78x = 12,616.83 × 7,910.82
  4. Step 4: Simplify right side
    9,165.78x = 99,809,471.10
  5. Step 5: Solve for x
    x = 99,809,471.10/9,165.78
  6. Step 6: Final answer
    x = 10,889.36

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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.