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Finding the Fourth Proportional to 9,677.89, 13,343.25 and 8,240.86

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Solution

The fourth proportional to 9,677.89, 13,343.25 and 8,240.86 is: 11,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.89 : 13,343.25 = 8,240.86 : x
  2. Step 2: Convert to fraction form
    9,677.89/13,343.25 = 8,240.86/x
  3. Step 3: Cross multiply
    9,677.89x = 13,343.25 × 8,240.86
  4. Step 4: Simplify right side
    9,677.89x = 109,959,855.20
  5. Step 5: Solve for x
    x = 109,959,855.20/9,677.89
  6. Step 6: Final answer
    x = 11,361.97

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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.