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Finding the Fourth Proportional to 6,467.40, 9,684.60 and 4,269.42

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Solution

The fourth proportional to 6,467.40, 9,684.60 and 4,269.42 is: 6,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.40 : 9,684.60 = 4,269.42 : x
  2. Step 2: Convert to fraction form
    6,467.40/9,684.60 = 4,269.42/x
  3. Step 3: Cross multiply
    6,467.40x = 9,684.60 × 4,269.42
  4. Step 4: Simplify right side
    6,467.40x = 41,347,624.93
  5. Step 5: Solve for x
    x = 41,347,624.93/6,467.40
  6. Step 6: Final answer
    x = 6,393.24

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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.