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Finding the Fourth Proportional to 9,321.30, 12,863.16 and 5,072.31

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Solution

The fourth proportional to 9,321.30, 12,863.16 and 5,072.31 is: 6,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.30 : 12,863.16 = 5,072.31 : x
  2. Step 2: Convert to fraction form
    9,321.30/12,863.16 = 5,072.31/x
  3. Step 3: Cross multiply
    9,321.30x = 12,863.16 × 5,072.31
  4. Step 4: Simplify right side
    9,321.30x = 65,245,935.10
  5. Step 5: Solve for x
    x = 65,245,935.10/9,321.30
  6. Step 6: Final answer
    x = 6,999.66

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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.