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Finding the Fourth Proportional to 9,294.48, 13,940.64 and 3,450.42

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Solution

The fourth proportional to 9,294.48, 13,940.64 and 3,450.42 is: 5,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.48 : 13,940.64 = 3,450.42 : x
  2. Step 2: Convert to fraction form
    9,294.48/13,940.64 = 3,450.42/x
  3. Step 3: Cross multiply
    9,294.48x = 13,940.64 × 3,450.42
  4. Step 4: Simplify right side
    9,294.48x = 48,101,063.07
  5. Step 5: Solve for x
    x = 48,101,063.07/9,294.48
  6. Step 6: Final answer
    x = 5,175.23

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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.