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Finding the Fourth Proportional to 6,664.01, 9,196.20 and 3,679.77

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Solution

The fourth proportional to 6,664.01, 9,196.20 and 3,679.77 is: 5,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.01 : 9,196.20 = 3,679.77 : x
  2. Step 2: Convert to fraction form
    6,664.01/9,196.20 = 3,679.77/x
  3. Step 3: Cross multiply
    6,664.01x = 9,196.20 × 3,679.77
  4. Step 4: Simplify right side
    6,664.01x = 33,839,900.87
  5. Step 5: Solve for x
    x = 33,839,900.87/6,664.01
  6. Step 6: Final answer
    x = 5,078.01

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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.