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Finding the Fourth Proportional to 9,749.49, 13,454.25 and 5,273.25

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Solution

The fourth proportional to 9,749.49, 13,454.25 and 5,273.25 is: 7,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.49 : 13,454.25 = 5,273.25 : x
  2. Step 2: Convert to fraction form
    9,749.49/13,454.25 = 5,273.25/x
  3. Step 3: Cross multiply
    9,749.49x = 13,454.25 × 5,273.25
  4. Step 4: Simplify right side
    9,749.49x = 70,947,623.81
  5. Step 5: Solve for x
    x = 70,947,623.81/9,749.49
  6. Step 6: Final answer
    x = 7,277.06

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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.