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Finding the Fourth Proportional to 9,665.34, 13,365.02 and 7,672.44

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Solution

The fourth proportional to 9,665.34, 13,365.02 and 7,672.44 is: 10,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.34 : 13,365.02 = 7,672.44 : x
  2. Step 2: Convert to fraction form
    9,665.34/13,365.02 = 7,672.44/x
  3. Step 3: Cross multiply
    9,665.34x = 13,365.02 × 7,672.44
  4. Step 4: Simplify right side
    9,665.34x = 102,542,314.05
  5. Step 5: Solve for x
    x = 102,542,314.05/9,665.34
  6. Step 6: Final answer
    x = 10,609.28

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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.