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Finding the Fourth Proportional to 9,801.14, 14,705.82 and 3,956.31

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Solution

The fourth proportional to 9,801.14, 14,705.82 and 3,956.31 is: 5,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.14 : 14,705.82 = 3,956.31 : x
  2. Step 2: Convert to fraction form
    9,801.14/14,705.82 = 3,956.31/x
  3. Step 3: Cross multiply
    9,801.14x = 14,705.82 × 3,956.31
  4. Step 4: Simplify right side
    9,801.14x = 58,180,782.72
  5. Step 5: Solve for x
    x = 58,180,782.72/9,801.14
  6. Step 6: Final answer
    x = 5,936.13

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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.