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Finding the Fourth Proportional to 9,796.75, 13,522.41 and 5,820.26

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Solution

The fourth proportional to 9,796.75, 13,522.41 and 5,820.26 is: 8,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.75 : 13,522.41 = 5,820.26 : x
  2. Step 2: Convert to fraction form
    9,796.75/13,522.41 = 5,820.26/x
  3. Step 3: Cross multiply
    9,796.75x = 13,522.41 × 5,820.26
  4. Step 4: Simplify right side
    9,796.75x = 78,703,874.41
  5. Step 5: Solve for x
    x = 78,703,874.41/9,796.75
  6. Step 6: Final answer
    x = 8,033.67

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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.