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Finding the Fourth Proportional to 6,825.75, 9,419.43 and 3,841.48

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Solution

The fourth proportional to 6,825.75, 9,419.43 and 3,841.48 is: 5,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.75 : 9,419.43 = 3,841.48 : x
  2. Step 2: Convert to fraction form
    6,825.75/9,419.43 = 3,841.48/x
  3. Step 3: Cross multiply
    6,825.75x = 9,419.43 × 3,841.48
  4. Step 4: Simplify right side
    6,825.75x = 36,184,551.96
  5. Step 5: Solve for x
    x = 36,184,551.96/6,825.75
  6. Step 6: Final answer
    x = 5,301.18

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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.