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Finding the Fourth Proportional to 6,170.53, 9,234.26 and 5,046.96

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Solution

The fourth proportional to 6,170.53, 9,234.26 and 5,046.96 is: 7,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.53 : 9,234.26 = 5,046.96 : x
  2. Step 2: Convert to fraction form
    6,170.53/9,234.26 = 5,046.96/x
  3. Step 3: Cross multiply
    6,170.53x = 9,234.26 × 5,046.96
  4. Step 4: Simplify right side
    6,170.53x = 46,604,899.91
  5. Step 5: Solve for x
    x = 46,604,899.91/6,170.53
  6. Step 6: Final answer
    x = 7,552.82

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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.