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Finding the Fourth Proportional to 9,749.15, 13,448.05 and 5,974.01

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Solution

The fourth proportional to 9,749.15, 13,448.05 and 5,974.01 is: 8,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.15 : 13,448.05 = 5,974.01 : x
  2. Step 2: Convert to fraction form
    9,749.15/13,448.05 = 5,974.01/x
  3. Step 3: Cross multiply
    9,749.15x = 13,448.05 × 5,974.01
  4. Step 4: Simplify right side
    9,749.15x = 80,338,703.01
  5. Step 5: Solve for x
    x = 80,338,703.01/9,749.15
  6. Step 6: Final answer
    x = 8,240.59

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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.