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Finding the Fourth Proportional to 9,369.61, 14,055.22 and 3,823.34

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Solution

The fourth proportional to 9,369.61, 14,055.22 and 3,823.34 is: 5,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.61 : 14,055.22 = 3,823.34 : x
  2. Step 2: Convert to fraction form
    9,369.61/14,055.22 = 3,823.34/x
  3. Step 3: Cross multiply
    9,369.61x = 14,055.22 × 3,823.34
  4. Step 4: Simplify right side
    9,369.61x = 53,737,819.34
  5. Step 5: Solve for x
    x = 53,737,819.34/9,369.61
  6. Step 6: Final answer
    x = 5,735.33

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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.