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Finding the Fourth Proportional to 9,321.31, 12,863.94 and 5,343.09

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Solution

The fourth proportional to 9,321.31, 12,863.94 and 5,343.09 is: 7,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.31 : 12,863.94 = 5,343.09 : x
  2. Step 2: Convert to fraction form
    9,321.31/12,863.94 = 5,343.09/x
  3. Step 3: Cross multiply
    9,321.31x = 12,863.94 × 5,343.09
  4. Step 4: Simplify right side
    9,321.31x = 68,733,189.17
  5. Step 5: Solve for x
    x = 68,733,189.17/9,321.31
  6. Step 6: Final answer
    x = 7,373.77

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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.