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Finding the Fourth Proportional to 9,494.72, 13,096.32 and 5,956.64

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Solution

The fourth proportional to 9,494.72, 13,096.32 and 5,956.64 is: 8,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.72 : 13,096.32 = 5,956.64 : x
  2. Step 2: Convert to fraction form
    9,494.72/13,096.32 = 5,956.64/x
  3. Step 3: Cross multiply
    9,494.72x = 13,096.32 × 5,956.64
  4. Step 4: Simplify right side
    9,494.72x = 78,010,063.56
  5. Step 5: Solve for x
    x = 78,010,063.56/9,494.72
  6. Step 6: Final answer
    x = 8,216.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.