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Finding the Fourth Proportional to 9,853.72, 13,609.14 and 6,704.44

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Solution

The fourth proportional to 9,853.72, 13,609.14 and 6,704.44 is: 9,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.72 : 13,609.14 = 6,704.44 : x
  2. Step 2: Convert to fraction form
    9,853.72/13,609.14 = 6,704.44/x
  3. Step 3: Cross multiply
    9,853.72x = 13,609.14 × 6,704.44
  4. Step 4: Simplify right side
    9,853.72x = 91,241,662.58
  5. Step 5: Solve for x
    x = 91,241,662.58/9,853.72
  6. Step 6: Final answer
    x = 9,259.62

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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.