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Finding the Fourth Proportional to 6,505.20, 9,736.20 and 4,561.20

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Solution

The fourth proportional to 6,505.20, 9,736.20 and 4,561.20 is: 6,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.20 : 9,736.20 = 4,561.20 : x
  2. Step 2: Convert to fraction form
    6,505.20/9,736.20 = 4,561.20/x
  3. Step 3: Cross multiply
    6,505.20x = 9,736.20 × 4,561.20
  4. Step 4: Simplify right side
    6,505.20x = 44,408,755.44
  5. Step 5: Solve for x
    x = 44,408,755.44/6,505.20
  6. Step 6: Final answer
    x = 6,826.65

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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.