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Finding the Fourth Proportional to 6,659.94, 9,190.78 and 3,676

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Solution

The fourth proportional to 6,659.94, 9,190.78 and 3,676 is: 5,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.94 : 9,190.78 = 3,676 : x
  2. Step 2: Convert to fraction form
    6,659.94/9,190.78 = 3,676/x
  3. Step 3: Cross multiply
    6,659.94x = 9,190.78 × 3,676
  4. Step 4: Simplify right side
    6,659.94x = 33,785,307.28
  5. Step 5: Solve for x
    x = 33,785,307.28/6,659.94
  6. Step 6: Final answer
    x = 5,072.91

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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.