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Finding the Fourth Proportional to 6,299.04, 9,450 and 3,012.96

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Solution

The fourth proportional to 6,299.04, 9,450 and 3,012.96 is: 4,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.04 : 9,450 = 3,012.96 : x
  2. Step 2: Convert to fraction form
    6,299.04/9,450 = 3,012.96/x
  3. Step 3: Cross multiply
    6,299.04x = 9,450 × 3,012.96
  4. Step 4: Simplify right side
    6,299.04x = 28,472,472
  5. Step 5: Solve for x
    x = 28,472,472/6,299.04
  6. Step 6: Final answer
    x = 4,520.13

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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.