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Finding the Fourth Proportional to 9,684.26, 13,363.64 and 5,704.60

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Solution

The fourth proportional to 9,684.26, 13,363.64 and 5,704.60 is: 7,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.26 : 13,363.64 = 5,704.60 : x
  2. Step 2: Convert to fraction form
    9,684.26/13,363.64 = 5,704.60/x
  3. Step 3: Cross multiply
    9,684.26x = 13,363.64 × 5,704.60
  4. Step 4: Simplify right side
    9,684.26x = 76,234,220.74
  5. Step 5: Solve for x
    x = 76,234,220.74/9,684.26
  6. Step 6: Final answer
    x = 7,871.97

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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.