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Finding the Fourth Proportional to 6,500.09, 9,750.94 and 2,116.37

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Solution

The fourth proportional to 6,500.09, 9,750.94 and 2,116.37 is: 3,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.09 : 9,750.94 = 2,116.37 : x
  2. Step 2: Convert to fraction form
    6,500.09/9,750.94 = 2,116.37/x
  3. Step 3: Cross multiply
    6,500.09x = 9,750.94 × 2,116.37
  4. Step 4: Simplify right side
    6,500.09x = 20,636,542.84
  5. Step 5: Solve for x
    x = 20,636,542.84/6,500.09
  6. Step 6: Final answer
    x = 3,174.81

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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.