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Finding the Fourth Proportional to 6,687.86, 9,230.22 and 3,854.69

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Solution

The fourth proportional to 6,687.86, 9,230.22 and 3,854.69 is: 5,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.86 : 9,230.22 = 3,854.69 : x
  2. Step 2: Convert to fraction form
    6,687.86/9,230.22 = 3,854.69/x
  3. Step 3: Cross multiply
    6,687.86x = 9,230.22 × 3,854.69
  4. Step 4: Simplify right side
    6,687.86x = 35,579,636.73
  5. Step 5: Solve for x
    x = 35,579,636.73/6,687.86
  6. Step 6: Final answer
    x = 5,320.03

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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.