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Finding the Fourth Proportional to 9,729.96, 13,423.36 and 7,183.81

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Solution

The fourth proportional to 9,729.96, 13,423.36 and 7,183.81 is: 9,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.96 : 13,423.36 = 7,183.81 : x
  2. Step 2: Convert to fraction form
    9,729.96/13,423.36 = 7,183.81/x
  3. Step 3: Cross multiply
    9,729.96x = 13,423.36 × 7,183.81
  4. Step 4: Simplify right side
    9,729.96x = 96,430,849.84
  5. Step 5: Solve for x
    x = 96,430,849.84/9,729.96
  6. Step 6: Final answer
    x = 9,910.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.