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Finding the Fourth Proportional to 6,421.92, 9,647.64 and 3,826.68

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Solution

The fourth proportional to 6,421.92, 9,647.64 and 3,826.68 is: 5,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.92 : 9,647.64 = 3,826.68 : x
  2. Step 2: Convert to fraction form
    6,421.92/9,647.64 = 3,826.68/x
  3. Step 3: Cross multiply
    6,421.92x = 9,647.64 × 3,826.68
  4. Step 4: Simplify right side
    6,421.92x = 36,918,431.04
  5. Step 5: Solve for x
    x = 36,918,431.04/6,421.92
  6. Step 6: Final answer
    x = 5,748.82

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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.