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Finding the Fourth Proportional to 6,749.74, 9,314.38 and 3,916.97

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Solution

The fourth proportional to 6,749.74, 9,314.38 and 3,916.97 is: 5,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.74 : 9,314.38 = 3,916.97 : x
  2. Step 2: Convert to fraction form
    6,749.74/9,314.38 = 3,916.97/x
  3. Step 3: Cross multiply
    6,749.74x = 9,314.38 × 3,916.97
  4. Step 4: Simplify right side
    6,749.74x = 36,484,147.03
  5. Step 5: Solve for x
    x = 36,484,147.03/6,749.74
  6. Step 6: Final answer
    x = 5,405.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.