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Finding the Fourth Proportional to 9,197.44, 13,804.17 and 4,817.98

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Solution

The fourth proportional to 9,197.44, 13,804.17 and 4,817.98 is: 7,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.44 : 13,804.17 = 4,817.98 : x
  2. Step 2: Convert to fraction form
    9,197.44/13,804.17 = 4,817.98/x
  3. Step 3: Cross multiply
    9,197.44x = 13,804.17 × 4,817.98
  4. Step 4: Simplify right side
    9,197.44x = 66,508,214.98
  5. Step 5: Solve for x
    x = 66,508,214.98/9,197.44
  6. Step 6: Final answer
    x = 7,231.17

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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.