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Finding the Fourth Proportional to 9,523.86, 14,286.73 and 3,283.05

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Solution

The fourth proportional to 9,523.86, 14,286.73 and 3,283.05 is: 4,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.86 : 14,286.73 = 3,283.05 : x
  2. Step 2: Convert to fraction form
    9,523.86/14,286.73 = 3,283.05/x
  3. Step 3: Cross multiply
    9,523.86x = 14,286.73 × 3,283.05
  4. Step 4: Simplify right side
    9,523.86x = 46,904,018.76
  5. Step 5: Solve for x
    x = 46,904,018.76/9,523.86
  6. Step 6: Final answer
    x = 4,924.90

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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.