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Finding the Fourth Proportional to 9,701.73, 13,375.62 and 6,338.70

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Solution

The fourth proportional to 9,701.73, 13,375.62 and 6,338.70 is: 8,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.73 : 13,375.62 = 6,338.70 : x
  2. Step 2: Convert to fraction form
    9,701.73/13,375.62 = 6,338.70/x
  3. Step 3: Cross multiply
    9,701.73x = 13,375.62 × 6,338.70
  4. Step 4: Simplify right side
    9,701.73x = 84,784,042.49
  5. Step 5: Solve for x
    x = 84,784,042.49/9,701.73
  6. Step 6: Final answer
    x = 8,739.06

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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.