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Finding the Fourth Proportional to 9,622.92, 13,266.50 and 7,198.04

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Solution

The fourth proportional to 9,622.92, 13,266.50 and 7,198.04 is: 9,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.92 : 13,266.50 = 7,198.04 : x
  2. Step 2: Convert to fraction form
    9,622.92/13,266.50 = 7,198.04/x
  3. Step 3: Cross multiply
    9,622.92x = 13,266.50 × 7,198.04
  4. Step 4: Simplify right side
    9,622.92x = 95,492,797.66
  5. Step 5: Solve for x
    x = 95,492,797.66/9,622.92
  6. Step 6: Final answer
    x = 9,923.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.