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Finding the Fourth Proportional to 6,500.09, 9,750.12 and 2,607.23

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Solution

The fourth proportional to 6,500.09, 9,750.12 and 2,607.23 is: 3,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.09 : 9,750.12 = 2,607.23 : x
  2. Step 2: Convert to fraction form
    6,500.09/9,750.12 = 2,607.23/x
  3. Step 3: Cross multiply
    6,500.09x = 9,750.12 × 2,607.23
  4. Step 4: Simplify right side
    6,500.09x = 25,420,756.62
  5. Step 5: Solve for x
    x = 25,420,756.62/6,500.09
  6. Step 6: Final answer
    x = 3,910.83

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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.