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Finding the Fourth Proportional to 6,114.33, 9,174.23 and 2,825.66

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Solution

The fourth proportional to 6,114.33, 9,174.23 and 2,825.66 is: 4,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.33 : 9,174.23 = 2,825.66 : x
  2. Step 2: Convert to fraction form
    6,114.33/9,174.23 = 2,825.66/x
  3. Step 3: Cross multiply
    6,114.33x = 9,174.23 × 2,825.66
  4. Step 4: Simplify right side
    6,114.33x = 25,923,254.74
  5. Step 5: Solve for x
    x = 25,923,254.74/6,114.33
  6. Step 6: Final answer
    x = 4,239.75

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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.