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Finding the Fourth Proportional to 6,825.50, 9,419.19 and 4,031

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Solution

The fourth proportional to 6,825.50, 9,419.19 and 4,031 is: 5,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.50 : 9,419.19 = 4,031 : x
  2. Step 2: Convert to fraction form
    6,825.50/9,419.19 = 4,031/x
  3. Step 3: Cross multiply
    6,825.50x = 9,419.19 × 4,031
  4. Step 4: Simplify right side
    6,825.50x = 37,968,754.89
  5. Step 5: Solve for x
    x = 37,968,754.89/6,825.50
  6. Step 6: Final answer
    x = 5,562.78

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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.