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Finding the Fourth Proportional to 6,396.96, 9,594.08 and 2,697.76

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Solution

The fourth proportional to 6,396.96, 9,594.08 and 2,697.76 is: 4,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.96 : 9,594.08 = 2,697.76 : x
  2. Step 2: Convert to fraction form
    6,396.96/9,594.08 = 2,697.76/x
  3. Step 3: Cross multiply
    6,396.96x = 9,594.08 × 2,697.76
  4. Step 4: Simplify right side
    6,396.96x = 25,882,525.26
  5. Step 5: Solve for x
    x = 25,882,525.26/6,396.96
  6. Step 6: Final answer
    x = 4,046.07

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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.