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Finding the Fourth Proportional to 6,301.96, 9,443.61 and 5,609.92

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Solution

The fourth proportional to 6,301.96, 9,443.61 and 5,609.92 is: 8,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.96 : 9,443.61 = 5,609.92 : x
  2. Step 2: Convert to fraction form
    6,301.96/9,443.61 = 5,609.92/x
  3. Step 3: Cross multiply
    6,301.96x = 9,443.61 × 5,609.92
  4. Step 4: Simplify right side
    6,301.96x = 52,977,896.61
  5. Step 5: Solve for x
    x = 52,977,896.61/6,301.96
  6. Step 6: Final answer
    x = 8,406.57

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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.