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Finding the Fourth Proportional to 9,680.12, 13,357.74 and 6,540.56

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Solution

The fourth proportional to 9,680.12, 13,357.74 and 6,540.56 is: 9,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.12 : 13,357.74 = 6,540.56 : x
  2. Step 2: Convert to fraction form
    9,680.12/13,357.74 = 6,540.56/x
  3. Step 3: Cross multiply
    9,680.12x = 13,357.74 × 6,540.56
  4. Step 4: Simplify right side
    9,680.12x = 87,367,099.93
  5. Step 5: Solve for x
    x = 87,367,099.93/9,680.12
  6. Step 6: Final answer
    x = 9,025.41

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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.