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Finding the Fourth Proportional to 9,841.32, 14,761.38 and 3,997.78

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Solution

The fourth proportional to 9,841.32, 14,761.38 and 3,997.78 is: 5,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.32 : 14,761.38 = 3,997.78 : x
  2. Step 2: Convert to fraction form
    9,841.32/14,761.38 = 3,997.78/x
  3. Step 3: Cross multiply
    9,841.32x = 14,761.38 × 3,997.78
  4. Step 4: Simplify right side
    9,841.32x = 59,012,741.23
  5. Step 5: Solve for x
    x = 59,012,741.23/9,841.32
  6. Step 6: Final answer
    x = 5,996.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.