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Finding the Fourth Proportional to 9,730.09, 13,423.52 and 7,183.94

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Solution

The fourth proportional to 9,730.09, 13,423.52 and 7,183.94 is: 9,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.09 : 13,423.52 = 7,183.94 : x
  2. Step 2: Convert to fraction form
    9,730.09/13,423.52 = 7,183.94/x
  3. Step 3: Cross multiply
    9,730.09x = 13,423.52 × 7,183.94
  4. Step 4: Simplify right side
    9,730.09x = 96,433,788.62
  5. Step 5: Solve for x
    x = 96,433,788.62/9,730.09
  6. Step 6: Final answer
    x = 9,910.88

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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.