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Finding the Fourth Proportional to 6,849.82, 9,453.69 and 3,866.86

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Solution

The fourth proportional to 6,849.82, 9,453.69 and 3,866.86 is: 5,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.82 : 9,453.69 = 3,866.86 : x
  2. Step 2: Convert to fraction form
    6,849.82/9,453.69 = 3,866.86/x
  3. Step 3: Cross multiply
    6,849.82x = 9,453.69 × 3,866.86
  4. Step 4: Simplify right side
    6,849.82x = 36,556,095.71
  5. Step 5: Solve for x
    x = 36,556,095.71/6,849.82
  6. Step 6: Final answer
    x = 5,336.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.