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Finding the Fourth Proportional to 6,458.74, 9,674.33 and 3,121.94

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Solution

The fourth proportional to 6,458.74, 9,674.33 and 3,121.94 is: 4,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.74 : 9,674.33 = 3,121.94 : x
  2. Step 2: Convert to fraction form
    6,458.74/9,674.33 = 3,121.94/x
  3. Step 3: Cross multiply
    6,458.74x = 9,674.33 × 3,121.94
  4. Step 4: Simplify right side
    6,458.74x = 30,202,677.80
  5. Step 5: Solve for x
    x = 30,202,677.80/6,458.74
  6. Step 6: Final answer
    x = 4,676.25

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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.