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Finding the Fourth Proportional to 9,684.63, 14,523.77 and 3,109.26

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Solution

The fourth proportional to 9,684.63, 14,523.77 and 3,109.26 is: 4,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.63 : 14,523.77 = 3,109.26 : x
  2. Step 2: Convert to fraction form
    9,684.63/14,523.77 = 3,109.26/x
  3. Step 3: Cross multiply
    9,684.63x = 14,523.77 × 3,109.26
  4. Step 4: Simplify right side
    9,684.63x = 45,158,161.56
  5. Step 5: Solve for x
    x = 45,158,161.56/9,684.63
  6. Step 6: Final answer
    x = 4,662.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.