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Finding the Fourth Proportional to 6,906.13, 9,529.40 and 3,880.67

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Solution

The fourth proportional to 6,906.13, 9,529.40 and 3,880.67 is: 5,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.13 : 9,529.40 = 3,880.67 : x
  2. Step 2: Convert to fraction form
    6,906.13/9,529.40 = 3,880.67/x
  3. Step 3: Cross multiply
    6,906.13x = 9,529.40 × 3,880.67
  4. Step 4: Simplify right side
    6,906.13x = 36,980,418.75
  5. Step 5: Solve for x
    x = 36,980,418.75/6,906.13
  6. Step 6: Final answer
    x = 5,354.73

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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.