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Finding the Fourth Proportional to 7,198.45, 9,934.02 and 4,012.07

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Solution

The fourth proportional to 7,198.45, 9,934.02 and 4,012.07 is: 5,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.45 : 9,934.02 = 4,012.07 : x
  2. Step 2: Convert to fraction form
    7,198.45/9,934.02 = 4,012.07/x
  3. Step 3: Cross multiply
    7,198.45x = 9,934.02 × 4,012.07
  4. Step 4: Simplify right side
    7,198.45x = 39,856,023.50
  5. Step 5: Solve for x
    x = 39,856,023.50/7,198.45
  6. Step 6: Final answer
    x = 5,536.75

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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.