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Finding the Fourth Proportional to 6,736.89, 9,293.69 and 5,234.53

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Solution

The fourth proportional to 6,736.89, 9,293.69 and 5,234.53 is: 7,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.89 : 9,293.69 = 5,234.53 : x
  2. Step 2: Convert to fraction form
    6,736.89/9,293.69 = 5,234.53/x
  3. Step 3: Cross multiply
    6,736.89x = 9,293.69 × 5,234.53
  4. Step 4: Simplify right side
    6,736.89x = 48,648,099.12
  5. Step 5: Solve for x
    x = 48,648,099.12/6,736.89
  6. Step 6: Final answer
    x = 7,221.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.