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Finding the Fourth Proportional to 6,448.92, 9,674.74 and 2,069.45

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Solution

The fourth proportional to 6,448.92, 9,674.74 and 2,069.45 is: 3,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.92 : 9,674.74 = 2,069.45 : x
  2. Step 2: Convert to fraction form
    6,448.92/9,674.74 = 2,069.45/x
  3. Step 3: Cross multiply
    6,448.92x = 9,674.74 × 2,069.45
  4. Step 4: Simplify right side
    6,448.92x = 20,021,381.19
  5. Step 5: Solve for x
    x = 20,021,381.19/6,448.92
  6. Step 6: Final answer
    x = 3,104.61

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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.