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Finding the Fourth Proportional to 9,481.39, 14,222.16 and 6,215.16

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Solution

The fourth proportional to 9,481.39, 14,222.16 and 6,215.16 is: 9,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.39 : 14,222.16 = 6,215.16 : x
  2. Step 2: Convert to fraction form
    9,481.39/14,222.16 = 6,215.16/x
  3. Step 3: Cross multiply
    9,481.39x = 14,222.16 × 6,215.16
  4. Step 4: Simplify right side
    9,481.39x = 88,392,999.95
  5. Step 5: Solve for x
    x = 88,392,999.95/9,481.39
  6. Step 6: Final answer
    x = 9,322.79

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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.