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Finding the Fourth Proportional to 9,906.72, 13,672.67 and 6,131.09

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Solution

The fourth proportional to 9,906.72, 13,672.67 and 6,131.09 is: 8,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.72 : 13,672.67 = 6,131.09 : x
  2. Step 2: Convert to fraction form
    9,906.72/13,672.67 = 6,131.09/x
  3. Step 3: Cross multiply
    9,906.72x = 13,672.67 × 6,131.09
  4. Step 4: Simplify right side
    9,906.72x = 83,828,373.84
  5. Step 5: Solve for x
    x = 83,828,373.84/9,906.72
  6. Step 6: Final answer
    x = 8,461.77

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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.