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Finding the Fourth Proportional to 9,383.43, 14,072.31 and 3,141.98

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Solution

The fourth proportional to 9,383.43, 14,072.31 and 3,141.98 is: 4,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.43 : 14,072.31 = 3,141.98 : x
  2. Step 2: Convert to fraction form
    9,383.43/14,072.31 = 3,141.98/x
  3. Step 3: Cross multiply
    9,383.43x = 14,072.31 × 3,141.98
  4. Step 4: Simplify right side
    9,383.43x = 44,214,916.57
  5. Step 5: Solve for x
    x = 44,214,916.57/9,383.43
  6. Step 6: Final answer
    x = 4,712.02

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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.