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Finding the Fourth Proportional to 6,467.80, 9,701.70 and 3,187.30

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Solution

The fourth proportional to 6,467.80, 9,701.70 and 3,187.30 is: 4,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.80 : 9,701.70 = 3,187.30 : x
  2. Step 2: Convert to fraction form
    6,467.80/9,701.70 = 3,187.30/x
  3. Step 3: Cross multiply
    6,467.80x = 9,701.70 × 3,187.30
  4. Step 4: Simplify right side
    6,467.80x = 30,922,228.41
  5. Step 5: Solve for x
    x = 30,922,228.41/6,467.80
  6. Step 6: Final answer
    x = 4,780.95

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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.