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Finding the Fourth Proportional to 6,205.70, 9,306.09 and 4,891.98

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Solution

The fourth proportional to 6,205.70, 9,306.09 and 4,891.98 is: 7,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.70 : 9,306.09 = 4,891.98 : x
  2. Step 2: Convert to fraction form
    6,205.70/9,306.09 = 4,891.98/x
  3. Step 3: Cross multiply
    6,205.70x = 9,306.09 × 4,891.98
  4. Step 4: Simplify right side
    6,205.70x = 45,525,182.89
  5. Step 5: Solve for x
    x = 45,525,182.89/6,205.70
  6. Step 6: Final answer
    x = 7,336.03

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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.