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Finding the Fourth Proportional to 6,396.37, 9,586.35 and 3,063.93

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Solution

The fourth proportional to 6,396.37, 9,586.35 and 3,063.93 is: 4,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.37 : 9,586.35 = 3,063.93 : x
  2. Step 2: Convert to fraction form
    6,396.37/9,586.35 = 3,063.93/x
  3. Step 3: Cross multiply
    6,396.37x = 9,586.35 × 3,063.93
  4. Step 4: Simplify right side
    6,396.37x = 29,371,869.41
  5. Step 5: Solve for x
    x = 29,371,869.41/6,396.37
  6. Step 6: Final answer
    x = 4,591.96

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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.