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Finding the Fourth Proportional to 6,149.33, 9,230.67 and 5,707.07

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Solution

The fourth proportional to 6,149.33, 9,230.67 and 5,707.07 is: 8,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.33 : 9,230.67 = 5,707.07 : x
  2. Step 2: Convert to fraction form
    6,149.33/9,230.67 = 5,707.07/x
  3. Step 3: Cross multiply
    6,149.33x = 9,230.67 × 5,707.07
  4. Step 4: Simplify right side
    6,149.33x = 52,680,033.68
  5. Step 5: Solve for x
    x = 52,680,033.68/6,149.33
  6. Step 6: Final answer
    x = 8,566.80

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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.