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Finding the Fourth Proportional to 9,682.86, 14,504.04 and 5,785.14

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Solution

The fourth proportional to 9,682.86, 14,504.04 and 5,785.14 is: 8,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.86 : 14,504.04 = 5,785.14 : x
  2. Step 2: Convert to fraction form
    9,682.86/14,504.04 = 5,785.14/x
  3. Step 3: Cross multiply
    9,682.86x = 14,504.04 × 5,785.14
  4. Step 4: Simplify right side
    9,682.86x = 83,907,901.97
  5. Step 5: Solve for x
    x = 83,907,901.97/9,682.86
  6. Step 6: Final answer
    x = 8,665.61

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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.