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Finding the Fourth Proportional to 6,825.78, 9,418.95 and 3,841.74

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Solution

The fourth proportional to 6,825.78, 9,418.95 and 3,841.74 is: 5,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.78 : 9,418.95 = 3,841.74 : x
  2. Step 2: Convert to fraction form
    6,825.78/9,418.95 = 3,841.74/x
  3. Step 3: Cross multiply
    6,825.78x = 9,418.95 × 3,841.74
  4. Step 4: Simplify right side
    6,825.78x = 36,185,156.97
  5. Step 5: Solve for x
    x = 36,185,156.97/6,825.78
  6. Step 6: Final answer
    x = 5,301.25

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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.