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Finding the Fourth Proportional to 9,662.97, 13,361.73 and 7,670.06

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Solution

The fourth proportional to 9,662.97, 13,361.73 and 7,670.06 is: 10,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.97 : 13,361.73 = 7,670.06 : x
  2. Step 2: Convert to fraction form
    9,662.97/13,361.73 = 7,670.06/x
  3. Step 3: Cross multiply
    9,662.97x = 13,361.73 × 7,670.06
  4. Step 4: Simplify right side
    9,662.97x = 102,485,316.27
  5. Step 5: Solve for x
    x = 102,485,316.27/9,662.97
  6. Step 6: Final answer
    x = 10,605.99

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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.