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Finding the Fourth Proportional to 9,396.34, 14,099.72 and 3,853.55

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Solution

The fourth proportional to 9,396.34, 14,099.72 and 3,853.55 is: 5,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.34 : 14,099.72 = 3,853.55 : x
  2. Step 2: Convert to fraction form
    9,396.34/14,099.72 = 3,853.55/x
  3. Step 3: Cross multiply
    9,396.34x = 14,099.72 × 3,853.55
  4. Step 4: Simplify right side
    9,396.34x = 54,333,991.99
  5. Step 5: Solve for x
    x = 54,333,991.99/9,396.34
  6. Step 6: Final answer
    x = 5,782.46

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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.