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Finding the Fourth Proportional to 6,906.27, 9,529.58 and 3,880.79

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Solution

The fourth proportional to 6,906.27, 9,529.58 and 3,880.79 is: 5,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.27 : 9,529.58 = 3,880.79 : x
  2. Step 2: Convert to fraction form
    6,906.27/9,529.58 = 3,880.79/x
  3. Step 3: Cross multiply
    6,906.27x = 9,529.58 × 3,880.79
  4. Step 4: Simplify right side
    6,906.27x = 36,982,298.77
  5. Step 5: Solve for x
    x = 36,982,298.77/6,906.27
  6. Step 6: Final answer
    x = 5,354.89

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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.