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Finding the Fourth Proportional to 6,422.58, 9,620.25 and 4,193.54

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Solution

The fourth proportional to 6,422.58, 9,620.25 and 4,193.54 is: 6,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.58 : 9,620.25 = 4,193.54 : x
  2. Step 2: Convert to fraction form
    6,422.58/9,620.25 = 4,193.54/x
  3. Step 3: Cross multiply
    6,422.58x = 9,620.25 × 4,193.54
  4. Step 4: Simplify right side
    6,422.58x = 40,342,855.08
  5. Step 5: Solve for x
    x = 40,342,855.08/6,422.58
  6. Step 6: Final answer
    x = 6,281.41

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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.