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Finding the Fourth Proportional to 6,269.27, 9,409.73 and 3,309.93

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Solution

The fourth proportional to 6,269.27, 9,409.73 and 3,309.93 is: 4,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.27 : 9,409.73 = 3,309.93 : x
  2. Step 2: Convert to fraction form
    6,269.27/9,409.73 = 3,309.93/x
  3. Step 3: Cross multiply
    6,269.27x = 9,409.73 × 3,309.93
  4. Step 4: Simplify right side
    6,269.27x = 31,145,531.07
  5. Step 5: Solve for x
    x = 31,145,531.07/6,269.27
  6. Step 6: Final answer
    x = 4,967.97

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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.