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Finding the Fourth Proportional to 6,314.33, 9,474.22 and 3,389.21

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Solution

The fourth proportional to 6,314.33, 9,474.22 and 3,389.21 is: 5,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.33 : 9,474.22 = 3,389.21 : x
  2. Step 2: Convert to fraction form
    6,314.33/9,474.22 = 3,389.21/x
  3. Step 3: Cross multiply
    6,314.33x = 9,474.22 × 3,389.21
  4. Step 4: Simplify right side
    6,314.33x = 32,110,136.38
  5. Step 5: Solve for x
    x = 32,110,136.38/6,314.33
  6. Step 6: Final answer
    x = 5,085.28

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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.