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Finding the Fourth Proportional to 7,054.26, 9,734.74 and 3,910.38

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Solution

The fourth proportional to 7,054.26, 9,734.74 and 3,910.38 is: 5,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.26 : 9,734.74 = 3,910.38 : x
  2. Step 2: Convert to fraction form
    7,054.26/9,734.74 = 3,910.38/x
  3. Step 3: Cross multiply
    7,054.26x = 9,734.74 × 3,910.38
  4. Step 4: Simplify right side
    7,054.26x = 38,066,532.60
  5. Step 5: Solve for x
    x = 38,066,532.60/7,054.26
  6. Step 6: Final answer
    x = 5,396.25

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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.