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Finding the Fourth Proportional to 6,421.03, 9,634.60 and 4,449.69

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Solution

The fourth proportional to 6,421.03, 9,634.60 and 4,449.69 is: 6,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.03 : 9,634.60 = 4,449.69 : x
  2. Step 2: Convert to fraction form
    6,421.03/9,634.60 = 4,449.69/x
  3. Step 3: Cross multiply
    6,421.03x = 9,634.60 × 4,449.69
  4. Step 4: Simplify right side
    6,421.03x = 42,870,983.27
  5. Step 5: Solve for x
    x = 42,870,983.27/6,421.03
  6. Step 6: Final answer
    x = 6,676.65

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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.