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Finding the Fourth Proportional to 9,731.85, 13,427.18 and 5,481.42

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Solution

The fourth proportional to 9,731.85, 13,427.18 and 5,481.42 is: 7,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.85 : 13,427.18 = 5,481.42 : x
  2. Step 2: Convert to fraction form
    9,731.85/13,427.18 = 5,481.42/x
  3. Step 3: Cross multiply
    9,731.85x = 13,427.18 × 5,481.42
  4. Step 4: Simplify right side
    9,731.85x = 73,600,035.94
  5. Step 5: Solve for x
    x = 73,600,035.94/9,731.85
  6. Step 6: Final answer
    x = 7,562.80

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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.