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Finding the Fourth Proportional to 6,149.03, 9,222.55 and 1,765.49

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Solution

The fourth proportional to 6,149.03, 9,222.55 and 1,765.49 is: 2,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.03 : 9,222.55 = 1,765.49 : x
  2. Step 2: Convert to fraction form
    6,149.03/9,222.55 = 1,765.49/x
  3. Step 3: Cross multiply
    6,149.03x = 9,222.55 × 1,765.49
  4. Step 4: Simplify right side
    6,149.03x = 16,282,269.27
  5. Step 5: Solve for x
    x = 16,282,269.27/6,149.03
  6. Step 6: Final answer
    x = 2,647.94

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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.