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Finding the Fourth Proportional to 9,832.34, 14,736.20 and 7,744.09

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Solution

The fourth proportional to 9,832.34, 14,736.20 and 7,744.09 is: 11,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.34 : 14,736.20 = 7,744.09 : x
  2. Step 2: Convert to fraction form
    9,832.34/14,736.20 = 7,744.09/x
  3. Step 3: Cross multiply
    9,832.34x = 14,736.20 × 7,744.09
  4. Step 4: Simplify right side
    9,832.34x = 114,118,459.06
  5. Step 5: Solve for x
    x = 114,118,459.06/9,832.34
  6. Step 6: Final answer
    x = 11,606.44

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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.