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Finding the Fourth Proportional to 9,196.49, 13,792.25 and 3,928.88

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Solution

The fourth proportional to 9,196.49, 13,792.25 and 3,928.88 is: 5,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.49 : 13,792.25 = 3,928.88 : x
  2. Step 2: Convert to fraction form
    9,196.49/13,792.25 = 3,928.88/x
  3. Step 3: Cross multiply
    9,196.49x = 13,792.25 × 3,928.88
  4. Step 4: Simplify right side
    9,196.49x = 54,188,089.64
  5. Step 5: Solve for x
    x = 54,188,089.64/9,196.49
  6. Step 6: Final answer
    x = 5,892.26

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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.