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Finding the Fourth Proportional to 9,321.22, 12,863.31 and 5,072.32

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Solution

The fourth proportional to 9,321.22, 12,863.31 and 5,072.32 is: 6,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.22 : 12,863.31 = 5,072.32 : x
  2. Step 2: Convert to fraction form
    9,321.22/12,863.31 = 5,072.32/x
  3. Step 3: Cross multiply
    9,321.22x = 12,863.31 × 5,072.32
  4. Step 4: Simplify right side
    9,321.22x = 65,246,824.58
  5. Step 5: Solve for x
    x = 65,246,824.58/9,321.22
  6. Step 6: Final answer
    x = 6,999.82

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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.