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Finding the Fourth Proportional to 9,749.44, 13,454.17 and 5,273.16

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Solution

The fourth proportional to 9,749.44, 13,454.17 and 5,273.16 is: 7,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.44 : 13,454.17 = 5,273.16 : x
  2. Step 2: Convert to fraction form
    9,749.44/13,454.17 = 5,273.16/x
  3. Step 3: Cross multiply
    9,749.44x = 13,454.17 × 5,273.16
  4. Step 4: Simplify right side
    9,749.44x = 70,945,991.08
  5. Step 5: Solve for x
    x = 70,945,991.08/9,749.44
  6. Step 6: Final answer
    x = 7,276.93

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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.