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Finding the Fourth Proportional to 6,467.74, 9,706.49 and 5,184.70

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Solution

The fourth proportional to 6,467.74, 9,706.49 and 5,184.70 is: 7,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.74 : 9,706.49 = 5,184.70 : x
  2. Step 2: Convert to fraction form
    6,467.74/9,706.49 = 5,184.70/x
  3. Step 3: Cross multiply
    6,467.74x = 9,706.49 × 5,184.70
  4. Step 4: Simplify right side
    6,467.74x = 50,325,238.70
  5. Step 5: Solve for x
    x = 50,325,238.70/6,467.74
  6. Step 6: Final answer
    x = 7,780.96

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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.