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Finding the Fourth Proportional to 9,546.12, 14,321.34 and 7,213.32

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Solution

The fourth proportional to 9,546.12, 14,321.34 and 7,213.32 is: 10,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.12 : 14,321.34 = 7,213.32 : x
  2. Step 2: Convert to fraction form
    9,546.12/14,321.34 = 7,213.32/x
  3. Step 3: Cross multiply
    9,546.12x = 14,321.34 × 7,213.32
  4. Step 4: Simplify right side
    9,546.12x = 103,304,408.25
  5. Step 5: Solve for x
    x = 103,304,408.25/9,546.12
  6. Step 6: Final answer
    x = 10,821.61

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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.