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Finding the Fourth Proportional to 9,749.37, 13,453.16 and 5,500.05

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Solution

The fourth proportional to 9,749.37, 13,453.16 and 5,500.05 is: 7,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.37 : 13,453.16 = 5,500.05 : x
  2. Step 2: Convert to fraction form
    9,749.37/13,453.16 = 5,500.05/x
  3. Step 3: Cross multiply
    9,749.37x = 13,453.16 × 5,500.05
  4. Step 4: Simplify right side
    9,749.37x = 73,992,974.71
  5. Step 5: Solve for x
    x = 73,992,974.71/9,749.37
  6. Step 6: Final answer
    x = 7,589.51

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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.