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Finding the Fourth Proportional to 6,204, 9,300.50 and 2,305.67

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Solution

The fourth proportional to 6,204, 9,300.50 and 2,305.67 is: 3,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204 : 9,300.50 = 2,305.67 : x
  2. Step 2: Convert to fraction form
    6,204/9,300.50 = 2,305.67/x
  3. Step 3: Cross multiply
    6,204x = 9,300.50 × 2,305.67
  4. Step 4: Simplify right side
    6,204x = 21,443,883.84
  5. Step 5: Solve for x
    x = 21,443,883.84/6,204
  6. Step 6: Final answer
    x = 3,456.46

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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.