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Finding the Fourth Proportional to 7,057.26, 9,738.86 and 3,913.38

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Solution

The fourth proportional to 7,057.26, 9,738.86 and 3,913.38 is: 5,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.26 : 9,738.86 = 3,913.38 : x
  2. Step 2: Convert to fraction form
    7,057.26/9,738.86 = 3,913.38/x
  3. Step 3: Cross multiply
    7,057.26x = 9,738.86 × 3,913.38
  4. Step 4: Simplify right side
    7,057.26x = 38,111,859.95
  5. Step 5: Solve for x
    x = 38,111,859.95/7,057.26
  6. Step 6: Final answer
    x = 5,400.38

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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.