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Finding the Fourth Proportional to 6,926.94, 9,559.08 and 3,942.90

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Solution

The fourth proportional to 6,926.94, 9,559.08 and 3,942.90 is: 5,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.94 : 9,559.08 = 3,942.90 : x
  2. Step 2: Convert to fraction form
    6,926.94/9,559.08 = 3,942.90/x
  3. Step 3: Cross multiply
    6,926.94x = 9,559.08 × 3,942.90
  4. Step 4: Simplify right side
    6,926.94x = 37,690,496.53
  5. Step 5: Solve for x
    x = 37,690,496.53/6,926.94
  6. Step 6: Final answer
    x = 5,441.15

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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.