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Finding the Fourth Proportional to 6,476.97, 8,938.27 and 3,825.69

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Solution

The fourth proportional to 6,476.97, 8,938.27 and 3,825.69 is: 5,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.97 : 8,938.27 = 3,825.69 : x
  2. Step 2: Convert to fraction form
    6,476.97/8,938.27 = 3,825.69/x
  3. Step 3: Cross multiply
    6,476.97x = 8,938.27 × 3,825.69
  4. Step 4: Simplify right side
    6,476.97x = 34,195,031.03
  5. Step 5: Solve for x
    x = 34,195,031.03/6,476.97
  6. Step 6: Final answer
    x = 5,279.48

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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.