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Finding the Fourth Proportional to 6,853.14, 9,447.64 and 4,862.97

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Solution

The fourth proportional to 6,853.14, 9,447.64 and 4,862.97 is: 6,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.14 : 9,447.64 = 4,862.97 : x
  2. Step 2: Convert to fraction form
    6,853.14/9,447.64 = 4,862.97/x
  3. Step 3: Cross multiply
    6,853.14x = 9,447.64 × 4,862.97
  4. Step 4: Simplify right side
    6,853.14x = 45,943,577.73
  5. Step 5: Solve for x
    x = 45,943,577.73/6,853.14
  6. Step 6: Final answer
    x = 6,704.02

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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.