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Finding the Fourth Proportional to 6,153.96, 9,229.83 and 1,770.34

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Solution

The fourth proportional to 6,153.96, 9,229.83 and 1,770.34 is: 2,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.96 : 9,229.83 = 1,770.34 : x
  2. Step 2: Convert to fraction form
    6,153.96/9,229.83 = 1,770.34/x
  3. Step 3: Cross multiply
    6,153.96x = 9,229.83 × 1,770.34
  4. Step 4: Simplify right side
    6,153.96x = 16,339,937.24
  5. Step 5: Solve for x
    x = 16,339,937.24/6,153.96
  6. Step 6: Final answer
    x = 2,655.19

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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.