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Finding the Fourth Proportional to 6,741.69, 9,299.86 and 4,223.26

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Solution

The fourth proportional to 6,741.69, 9,299.86 and 4,223.26 is: 5,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.69 : 9,299.86 = 4,223.26 : x
  2. Step 2: Convert to fraction form
    6,741.69/9,299.86 = 4,223.26/x
  3. Step 3: Cross multiply
    6,741.69x = 9,299.86 × 4,223.26
  4. Step 4: Simplify right side
    6,741.69x = 39,275,726.74
  5. Step 5: Solve for x
    x = 39,275,726.74/6,741.69
  6. Step 6: Final answer
    x = 5,825.80

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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.