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Finding the Fourth Proportional to 9,662.08, 13,327.32 and 7,562.56

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Solution

The fourth proportional to 9,662.08, 13,327.32 and 7,562.56 is: 10,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.08 : 13,327.32 = 7,562.56 : x
  2. Step 2: Convert to fraction form
    9,662.08/13,327.32 = 7,562.56/x
  3. Step 3: Cross multiply
    9,662.08x = 13,327.32 × 7,562.56
  4. Step 4: Simplify right side
    9,662.08x = 100,788,657.14
  5. Step 5: Solve for x
    x = 100,788,657.14/9,662.08
  6. Step 6: Final answer
    x = 10,431.36

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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.