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Finding the Fourth Proportional to 9,196.44, 13,802.67 and 4,816.98

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Solution

The fourth proportional to 9,196.44, 13,802.67 and 4,816.98 is: 7,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.44 : 13,802.67 = 4,816.98 : x
  2. Step 2: Convert to fraction form
    9,196.44/13,802.67 = 4,816.98/x
  3. Step 3: Cross multiply
    9,196.44x = 13,802.67 × 4,816.98
  4. Step 4: Simplify right side
    9,196.44x = 66,487,185.34
  5. Step 5: Solve for x
    x = 66,487,185.34/9,196.44
  6. Step 6: Final answer
    x = 7,229.67

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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.