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Finding the Fourth Proportional to 9,725.33, 14,588.00 and 7,768.37

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Solution

The fourth proportional to 9,725.33, 14,588.00 and 7,768.37 is: 11,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.33 : 14,588.00 = 7,768.37 : x
  2. Step 2: Convert to fraction form
    9,725.33/14,588.00 = 7,768.37/x
  3. Step 3: Cross multiply
    9,725.33x = 14,588.00 × 7,768.37
  4. Step 4: Simplify right side
    9,725.33x = 113,324,942.72
  5. Step 5: Solve for x
    x = 113,324,942.72/9,725.33
  6. Step 6: Final answer
    x = 11,652.56

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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.