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Finding the Fourth Proportional to 11,961.62, 16,509.97 and 9,267.51

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Solution

The fourth proportional to 11,961.62, 16,509.97 and 9,267.51 is: 12,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.62 : 16,509.97 = 9,267.51 : x
  2. Step 2: Convert to fraction form
    11,961.62/16,509.97 = 9,267.51/x
  3. Step 3: Cross multiply
    11,961.62x = 16,509.97 × 9,267.51
  4. Step 4: Simplify right side
    11,961.62x = 153,006,224.46
  5. Step 5: Solve for x
    x = 153,006,224.46/11,961.62
  6. Step 6: Final answer
    x = 12,791.43

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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.