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Finding the Fourth Proportional to 9,205.12, 13,794.30 and 6,974.40

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Solution

The fourth proportional to 9,205.12, 13,794.30 and 6,974.40 is: 10,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.12 : 13,794.30 = 6,974.40 : x
  2. Step 2: Convert to fraction form
    9,205.12/13,794.30 = 6,974.40/x
  3. Step 3: Cross multiply
    9,205.12x = 13,794.30 × 6,974.40
  4. Step 4: Simplify right side
    9,205.12x = 96,206,965.92
  5. Step 5: Solve for x
    x = 96,206,965.92/9,205.12
  6. Step 6: Final answer
    x = 10,451.46

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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.