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Finding the Fourth Proportional to 9,962.82, 13,736.25 and 8,381.70

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Solution

The fourth proportional to 9,962.82, 13,736.25 and 8,381.70 is: 11,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.82 : 13,736.25 = 8,381.70 : x
  2. Step 2: Convert to fraction form
    9,962.82/13,736.25 = 8,381.70/x
  3. Step 3: Cross multiply
    9,962.82x = 13,736.25 × 8,381.70
  4. Step 4: Simplify right side
    9,962.82x = 115,133,126.63
  5. Step 5: Solve for x
    x = 115,133,126.63/9,962.82
  6. Step 6: Final answer
    x = 11,556.28

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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.