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Finding the Fourth Proportional to 6,859.46, 9,464.94 and 3,874.61

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Solution

The fourth proportional to 6,859.46, 9,464.94 and 3,874.61 is: 5,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.46 : 9,464.94 = 3,874.61 : x
  2. Step 2: Convert to fraction form
    6,859.46/9,464.94 = 3,874.61/x
  3. Step 3: Cross multiply
    6,859.46x = 9,464.94 × 3,874.61
  4. Step 4: Simplify right side
    6,859.46x = 36,672,951.17
  5. Step 5: Solve for x
    x = 36,672,951.17/6,859.46
  6. Step 6: Final answer
    x = 5,346.33

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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.