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Finding the Fourth Proportional to 9,524.64, 14,286.96 and 2,951.76

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Solution

The fourth proportional to 9,524.64, 14,286.96 and 2,951.76 is: 4,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.64 : 14,286.96 = 2,951.76 : x
  2. Step 2: Convert to fraction form
    9,524.64/14,286.96 = 2,951.76/x
  3. Step 3: Cross multiply
    9,524.64x = 14,286.96 × 2,951.76
  4. Step 4: Simplify right side
    9,524.64x = 42,171,677.05
  5. Step 5: Solve for x
    x = 42,171,677.05/9,524.64
  6. Step 6: Final answer
    x = 4,427.64

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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.