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Finding the Fourth Proportional to 6,926.12, 9,559.14 and 3,942.12

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Solution

The fourth proportional to 6,926.12, 9,559.14 and 3,942.12 is: 5,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.12 : 9,559.14 = 3,942.12 : x
  2. Step 2: Convert to fraction form
    6,926.12/9,559.14 = 3,942.12/x
  3. Step 3: Cross multiply
    6,926.12x = 9,559.14 × 3,942.12
  4. Step 4: Simplify right side
    6,926.12x = 37,683,276.98
  5. Step 5: Solve for x
    x = 37,683,276.98/6,926.12
  6. Step 6: Final answer
    x = 5,440.75

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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.