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Finding the Fourth Proportional to 6,926.50, 9,558.98 and 3,942.46

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Solution

The fourth proportional to 6,926.50, 9,558.98 and 3,942.46 is: 5,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.50 : 9,558.98 = 3,942.46 : x
  2. Step 2: Convert to fraction form
    6,926.50/9,558.98 = 3,942.46/x
  3. Step 3: Cross multiply
    6,926.50x = 9,558.98 × 3,942.46
  4. Step 4: Simplify right side
    6,926.50x = 37,685,896.29
  5. Step 5: Solve for x
    x = 37,685,896.29/6,926.50
  6. Step 6: Final answer
    x = 5,440.83

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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.