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Finding the Fourth Proportional to 6,906.06, 10,359.09 and 5,954.72

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Solution

The fourth proportional to 6,906.06, 10,359.09 and 5,954.72 is: 8,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.06 : 10,359.09 = 5,954.72 : x
  2. Step 2: Convert to fraction form
    6,906.06/10,359.09 = 5,954.72/x
  3. Step 3: Cross multiply
    6,906.06x = 10,359.09 × 5,954.72
  4. Step 4: Simplify right side
    6,906.06x = 61,685,428.61
  5. Step 5: Solve for x
    x = 61,685,428.61/6,906.06
  6. Step 6: Final answer
    x = 8,932.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.