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Finding the Fourth Proportional to 9,906.12, 13,672.26 and 6,761.16

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Solution

The fourth proportional to 9,906.12, 13,672.26 and 6,761.16 is: 9,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.12 : 13,672.26 = 6,761.16 : x
  2. Step 2: Convert to fraction form
    9,906.12/13,672.26 = 6,761.16/x
  3. Step 3: Cross multiply
    9,906.12x = 13,672.26 × 6,761.16
  4. Step 4: Simplify right side
    9,906.12x = 92,440,337.42
  5. Step 5: Solve for x
    x = 92,440,337.42/9,906.12
  6. Step 6: Final answer
    x = 9,331.64

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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.