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Finding the Fourth Proportional to 6,825.66, 9,419.67 and 4,174.26

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Solution

The fourth proportional to 6,825.66, 9,419.67 and 4,174.26 is: 5,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.66 : 9,419.67 = 4,174.26 : x
  2. Step 2: Convert to fraction form
    6,825.66/9,419.67 = 4,174.26/x
  3. Step 3: Cross multiply
    6,825.66x = 9,419.67 × 4,174.26
  4. Step 4: Simplify right side
    6,825.66x = 39,320,151.69
  5. Step 5: Solve for x
    x = 39,320,151.69/6,825.66
  6. Step 6: Final answer
    x = 5,760.64

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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.