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Finding the Fourth Proportional to 6,153.77, 9,229.62 and 1,770.21

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Solution

The fourth proportional to 6,153.77, 9,229.62 and 1,770.21 is: 2,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.77 : 9,229.62 = 1,770.21 : x
  2. Step 2: Convert to fraction form
    6,153.77/9,229.62 = 1,770.21/x
  3. Step 3: Cross multiply
    6,153.77x = 9,229.62 × 1,770.21
  4. Step 4: Simplify right side
    6,153.77x = 16,338,365.62
  5. Step 5: Solve for x
    x = 16,338,365.62/6,153.77
  6. Step 6: Final answer
    x = 2,655.02

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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.