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Finding the Fourth Proportional to 9,720.20, 13,392.74 and 8,121.32

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Solution

The fourth proportional to 9,720.20, 13,392.74 and 8,121.32 is: 11,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.20 : 13,392.74 = 8,121.32 : x
  2. Step 2: Convert to fraction form
    9,720.20/13,392.74 = 8,121.32/x
  3. Step 3: Cross multiply
    9,720.20x = 13,392.74 × 8,121.32
  4. Step 4: Simplify right side
    9,720.20x = 108,766,727.22
  5. Step 5: Solve for x
    x = 108,766,727.22/9,720.20
  6. Step 6: Final answer
    x = 11,189.76

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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.