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Finding the Fourth Proportional to 9,759.76, 13,474.26 and 6,408.43

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Solution

The fourth proportional to 9,759.76, 13,474.26 and 6,408.43 is: 8,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.76 : 13,474.26 = 6,408.43 : x
  2. Step 2: Convert to fraction form
    9,759.76/13,474.26 = 6,408.43/x
  3. Step 3: Cross multiply
    9,759.76x = 13,474.26 × 6,408.43
  4. Step 4: Simplify right side
    9,759.76x = 86,348,818.33
  5. Step 5: Solve for x
    x = 86,348,818.33/9,759.76
  6. Step 6: Final answer
    x = 8,847.43

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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.