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Finding the Fourth Proportional to 9,213.82, 13,809.93 and 6,245.98

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Solution

The fourth proportional to 9,213.82, 13,809.93 and 6,245.98 is: 9,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.82 : 13,809.93 = 6,245.98 : x
  2. Step 2: Convert to fraction form
    9,213.82/13,809.93 = 6,245.98/x
  3. Step 3: Cross multiply
    9,213.82x = 13,809.93 × 6,245.98
  4. Step 4: Simplify right side
    9,213.82x = 86,256,546.58
  5. Step 5: Solve for x
    x = 86,256,546.58/9,213.82
  6. Step 6: Final answer
    x = 9,361.65

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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.