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Finding the Fourth Proportional to 6,396.60, 9,594.90 and 3,811.08

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Solution

The fourth proportional to 6,396.60, 9,594.90 and 3,811.08 is: 5,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.60 : 9,594.90 = 3,811.08 : x
  2. Step 2: Convert to fraction form
    6,396.60/9,594.90 = 3,811.08/x
  3. Step 3: Cross multiply
    6,396.60x = 9,594.90 × 3,811.08
  4. Step 4: Simplify right side
    6,396.60x = 36,566,931.49
  5. Step 5: Solve for x
    x = 36,566,931.49/6,396.60
  6. Step 6: Final answer
    x = 5,716.62

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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.