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Finding the Fourth Proportional to 9,755.69, 13,464.09 and 6,401.34

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Solution

The fourth proportional to 9,755.69, 13,464.09 and 6,401.34 is: 8,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.69 : 13,464.09 = 6,401.34 : x
  2. Step 2: Convert to fraction form
    9,755.69/13,464.09 = 6,401.34/x
  3. Step 3: Cross multiply
    9,755.69x = 13,464.09 × 6,401.34
  4. Step 4: Simplify right side
    9,755.69x = 86,188,217.88
  5. Step 5: Solve for x
    x = 86,188,217.88/9,755.69
  6. Step 6: Final answer
    x = 8,834.67

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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.