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Finding the Fourth Proportional to 9,468.36, 14,202.78 and 3,920.21

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Solution

The fourth proportional to 9,468.36, 14,202.78 and 3,920.21 is: 5,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.36 : 14,202.78 = 3,920.21 : x
  2. Step 2: Convert to fraction form
    9,468.36/14,202.78 = 3,920.21/x
  3. Step 3: Cross multiply
    9,468.36x = 14,202.78 × 3,920.21
  4. Step 4: Simplify right side
    9,468.36x = 55,677,915.69
  5. Step 5: Solve for x
    x = 55,677,915.69/9,468.36
  6. Step 6: Final answer
    x = 5,880.42

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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.