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Finding the Fourth Proportional to 6,153.96, 9,229.96 and 1,770.42

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Solution

The fourth proportional to 6,153.96, 9,229.96 and 1,770.42 is: 2,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.96 : 9,229.96 = 1,770.42 : x
  2. Step 2: Convert to fraction form
    6,153.96/9,229.96 = 1,770.42/x
  3. Step 3: Cross multiply
    6,153.96x = 9,229.96 × 1,770.42
  4. Step 4: Simplify right side
    6,153.96x = 16,340,905.78
  5. Step 5: Solve for x
    x = 16,340,905.78/6,153.96
  6. Step 6: Final answer
    x = 2,655.35

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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.