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Finding the Fourth Proportional to 6,306.44, 9,462.34 and 2,611.34

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Solution

The fourth proportional to 6,306.44, 9,462.34 and 2,611.34 is: 3,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.44 : 9,462.34 = 2,611.34 : x
  2. Step 2: Convert to fraction form
    6,306.44/9,462.34 = 2,611.34/x
  3. Step 3: Cross multiply
    6,306.44x = 9,462.34 × 2,611.34
  4. Step 4: Simplify right side
    6,306.44x = 24,709,386.94
  5. Step 5: Solve for x
    x = 24,709,386.94/6,306.44
  6. Step 6: Final answer
    x = 3,918.12

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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.