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Finding the Fourth Proportional to 9,198.19, 13,797.28 and 2,958.74

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Solution

The fourth proportional to 9,198.19, 13,797.28 and 2,958.74 is: 4,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.19 : 13,797.28 = 2,958.74 : x
  2. Step 2: Convert to fraction form
    9,198.19/13,797.28 = 2,958.74/x
  3. Step 3: Cross multiply
    9,198.19x = 13,797.28 × 2,958.74
  4. Step 4: Simplify right side
    9,198.19x = 40,822,564.23
  5. Step 5: Solve for x
    x = 40,822,564.23/9,198.19
  6. Step 6: Final answer
    x = 4,438.11

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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.