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Finding the Fourth Proportional to 6,447.68, 9,668.33 and 2,064.57

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Solution

The fourth proportional to 6,447.68, 9,668.33 and 2,064.57 is: 3,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.68 : 9,668.33 = 2,064.57 : x
  2. Step 2: Convert to fraction form
    6,447.68/9,668.33 = 2,064.57/x
  3. Step 3: Cross multiply
    6,447.68x = 9,668.33 × 2,064.57
  4. Step 4: Simplify right side
    6,447.68x = 19,960,949.23
  5. Step 5: Solve for x
    x = 19,960,949.23/6,447.68
  6. Step 6: Final answer
    x = 3,095.83

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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.