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Finding the Fourth Proportional to 6,433.42, 9,635.01 and 3,136.18

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Solution

The fourth proportional to 6,433.42, 9,635.01 and 3,136.18 is: 4,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.42 : 9,635.01 = 3,136.18 : x
  2. Step 2: Convert to fraction form
    6,433.42/9,635.01 = 3,136.18/x
  3. Step 3: Cross multiply
    6,433.42x = 9,635.01 × 3,136.18
  4. Step 4: Simplify right side
    6,433.42x = 30,217,125.66
  5. Step 5: Solve for x
    x = 30,217,125.66/6,433.42
  6. Step 6: Final answer
    x = 4,696.90

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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.