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Finding the Fourth Proportional to 6,141.70, 9,202.67 and 3,675.35

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Solution

The fourth proportional to 6,141.70, 9,202.67 and 3,675.35 is: 5,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.70 : 9,202.67 = 3,675.35 : x
  2. Step 2: Convert to fraction form
    6,141.70/9,202.67 = 3,675.35/x
  3. Step 3: Cross multiply
    6,141.70x = 9,202.67 × 3,675.35
  4. Step 4: Simplify right side
    6,141.70x = 33,823,033.18
  5. Step 5: Solve for x
    x = 33,823,033.18/6,141.70
  6. Step 6: Final answer
    x = 5,507.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.