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Finding the Fourth Proportional to 6,474.47, 9,706.41 and 3,355.38

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Solution

The fourth proportional to 6,474.47, 9,706.41 and 3,355.38 is: 5,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.47 : 9,706.41 = 3,355.38 : x
  2. Step 2: Convert to fraction form
    6,474.47/9,706.41 = 3,355.38/x
  3. Step 3: Cross multiply
    6,474.47x = 9,706.41 × 3,355.38
  4. Step 4: Simplify right side
    6,474.47x = 32,568,693.99
  5. Step 5: Solve for x
    x = 32,568,693.99/6,474.47
  6. Step 6: Final answer
    x = 5,030.33

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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.