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Finding the Fourth Proportional to 6,499.49, 9,747.49 and 3,211.70

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Solution

The fourth proportional to 6,499.49, 9,747.49 and 3,211.70 is: 4,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.49 : 9,747.49 = 3,211.70 : x
  2. Step 2: Convert to fraction form
    6,499.49/9,747.49 = 3,211.70/x
  3. Step 3: Cross multiply
    6,499.49x = 9,747.49 × 3,211.70
  4. Step 4: Simplify right side
    6,499.49x = 31,306,017.72
  5. Step 5: Solve for x
    x = 31,306,017.72/6,499.49
  6. Step 6: Final answer
    x = 4,816.69

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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.