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Finding the Fourth Proportional to 6,329.46, 9,491.99 and 3,522.58

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Solution

The fourth proportional to 6,329.46, 9,491.99 and 3,522.58 is: 5,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.46 : 9,491.99 = 3,522.58 : x
  2. Step 2: Convert to fraction form
    6,329.46/9,491.99 = 3,522.58/x
  3. Step 3: Cross multiply
    6,329.46x = 9,491.99 × 3,522.58
  4. Step 4: Simplify right side
    6,329.46x = 33,436,233.46
  5. Step 5: Solve for x
    x = 33,436,233.46/6,329.46
  6. Step 6: Final answer
    x = 5,282.64

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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.