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Finding the Fourth Proportional to 6,265.26, 9,398.34 and 1,883.05

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Solution

The fourth proportional to 6,265.26, 9,398.34 and 1,883.05 is: 2,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.26 : 9,398.34 = 1,883.05 : x
  2. Step 2: Convert to fraction form
    6,265.26/9,398.34 = 1,883.05/x
  3. Step 3: Cross multiply
    6,265.26x = 9,398.34 × 1,883.05
  4. Step 4: Simplify right side
    6,265.26x = 17,697,544.14
  5. Step 5: Solve for x
    x = 17,697,544.14/6,265.26
  6. Step 6: Final answer
    x = 2,824.71

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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.