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Finding the Fourth Proportional to 6,906.33, 9,526.61 and 4,251.76

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Solution

The fourth proportional to 6,906.33, 9,526.61 and 4,251.76 is: 5,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.33 : 9,526.61 = 4,251.76 : x
  2. Step 2: Convert to fraction form
    6,906.33/9,526.61 = 4,251.76/x
  3. Step 3: Cross multiply
    6,906.33x = 9,526.61 × 4,251.76
  4. Step 4: Simplify right side
    6,906.33x = 40,504,846.15
  5. Step 5: Solve for x
    x = 40,504,846.15/6,906.33
  6. Step 6: Final answer
    x = 5,864.89

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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.