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Finding the Fourth Proportional to 6,133.89, 9,202.29 and 1,974.14

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Solution

The fourth proportional to 6,133.89, 9,202.29 and 1,974.14 is: 2,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.89 : 9,202.29 = 1,974.14 : x
  2. Step 2: Convert to fraction form
    6,133.89/9,202.29 = 1,974.14/x
  3. Step 3: Cross multiply
    6,133.89x = 9,202.29 × 1,974.14
  4. Step 4: Simplify right side
    6,133.89x = 18,166,552.90
  5. Step 5: Solve for x
    x = 18,166,552.90/6,133.89
  6. Step 6: Final answer
    x = 2,961.67

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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.