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Finding the Fourth Proportional to 6,500.49, 9,747.03 and 2,116.77

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Solution

The fourth proportional to 6,500.49, 9,747.03 and 2,116.77 is: 3,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.49 : 9,747.03 = 2,116.77 : x
  2. Step 2: Convert to fraction form
    6,500.49/9,747.03 = 2,116.77/x
  3. Step 3: Cross multiply
    6,500.49x = 9,747.03 × 2,116.77
  4. Step 4: Simplify right side
    6,500.49x = 20,632,220.69
  5. Step 5: Solve for x
    x = 20,632,220.69/6,500.49
  6. Step 6: Final answer
    x = 3,173.95

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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.