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Finding the Fourth Proportional to 6,234.26, 9,328.29 and 4,997.93

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Solution

The fourth proportional to 6,234.26, 9,328.29 and 4,997.93 is: 7,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.26 : 9,328.29 = 4,997.93 : x
  2. Step 2: Convert to fraction form
    6,234.26/9,328.29 = 4,997.93/x
  3. Step 3: Cross multiply
    6,234.26x = 9,328.29 × 4,997.93
  4. Step 4: Simplify right side
    6,234.26x = 46,622,140.44
  5. Step 5: Solve for x
    x = 46,622,140.44/6,234.26
  6. Step 6: Final answer
    x = 7,478.38

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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.