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Finding the Fourth Proportional to 9,757.37, 13,466.75 and 5,982.62

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Solution

The fourth proportional to 9,757.37, 13,466.75 and 5,982.62 is: 8,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.37 : 13,466.75 = 5,982.62 : x
  2. Step 2: Convert to fraction form
    9,757.37/13,466.75 = 5,982.62/x
  3. Step 3: Cross multiply
    9,757.37x = 13,466.75 × 5,982.62
  4. Step 4: Simplify right side
    9,757.37x = 80,566,350.64
  5. Step 5: Solve for x
    x = 80,566,350.64/9,757.37
  6. Step 6: Final answer
    x = 8,256.98

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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.