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Finding the Fourth Proportional to 9,447.63, 14,171.74 and 2,873.87

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Solution

The fourth proportional to 9,447.63, 14,171.74 and 2,873.87 is: 4,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.63 : 14,171.74 = 2,873.87 : x
  2. Step 2: Convert to fraction form
    9,447.63/14,171.74 = 2,873.87/x
  3. Step 3: Cross multiply
    9,447.63x = 14,171.74 × 2,873.87
  4. Step 4: Simplify right side
    9,447.63x = 40,727,738.43
  5. Step 5: Solve for x
    x = 40,727,738.43/9,447.63
  6. Step 6: Final answer
    x = 4,310.89

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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.