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Finding the Fourth Proportional to 9,293.54, 13,942.33 and 3,747.06

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Solution

The fourth proportional to 9,293.54, 13,942.33 and 3,747.06 is: 5,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.54 : 13,942.33 = 3,747.06 : x
  2. Step 2: Convert to fraction form
    9,293.54/13,942.33 = 3,747.06/x
  3. Step 3: Cross multiply
    9,293.54x = 13,942.33 × 3,747.06
  4. Step 4: Simplify right side
    9,293.54x = 52,242,737.68
  5. Step 5: Solve for x
    x = 52,242,737.68/9,293.54
  6. Step 6: Final answer
    x = 5,621.41

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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.