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Finding the Fourth Proportional to 9,546.01, 14,318.80 and 3,305.64

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Solution

The fourth proportional to 9,546.01, 14,318.80 and 3,305.64 is: 4,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.01 : 14,318.80 = 3,305.64 : x
  2. Step 2: Convert to fraction form
    9,546.01/14,318.80 = 3,305.64/x
  3. Step 3: Cross multiply
    9,546.01x = 14,318.80 × 3,305.64
  4. Step 4: Simplify right side
    9,546.01x = 47,332,789.77
  5. Step 5: Solve for x
    x = 47,332,789.77/9,546.01
  6. Step 6: Final answer
    x = 4,958.39

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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.