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Finding the Fourth Proportional to 6,296.89, 9,447.38 and 3,010.23

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Solution

The fourth proportional to 6,296.89, 9,447.38 and 3,010.23 is: 4,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.89 : 9,447.38 = 3,010.23 : x
  2. Step 2: Convert to fraction form
    6,296.89/9,447.38 = 3,010.23/x
  3. Step 3: Cross multiply
    6,296.89x = 9,447.38 × 3,010.23
  4. Step 4: Simplify right side
    6,296.89x = 28,438,786.70
  5. Step 5: Solve for x
    x = 28,438,786.70/6,296.89
  6. Step 6: Final answer
    x = 4,516.32

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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.