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Finding the Fourth Proportional to 9,447.64, 14,171.46 and 2,873.81

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Solution

The fourth proportional to 9,447.64, 14,171.46 and 2,873.81 is: 4,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.64 : 14,171.46 = 2,873.81 : x
  2. Step 2: Convert to fraction form
    9,447.64/14,171.46 = 2,873.81/x
  3. Step 3: Cross multiply
    9,447.64x = 14,171.46 × 2,873.81
  4. Step 4: Simplify right side
    9,447.64x = 40,726,108.11
  5. Step 5: Solve for x
    x = 40,726,108.11/9,447.64
  6. Step 6: Final answer
    x = 4,310.72

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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.