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Finding the Fourth Proportional to 9,971.43, 14,954.89 and 2,951.97

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Solution

The fourth proportional to 9,971.43, 14,954.89 and 2,951.97 is: 4,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.43 : 14,954.89 = 2,951.97 : x
  2. Step 2: Convert to fraction form
    9,971.43/14,954.89 = 2,951.97/x
  3. Step 3: Cross multiply
    9,971.43x = 14,954.89 × 2,951.97
  4. Step 4: Simplify right side
    9,971.43x = 44,146,386.63
  5. Step 5: Solve for x
    x = 44,146,386.63/9,971.43
  6. Step 6: Final answer
    x = 4,427.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.