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Finding the Fourth Proportional to 6,894.25, 9,514.11 and 3,750.55

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Solution

The fourth proportional to 6,894.25, 9,514.11 and 3,750.55 is: 5,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.25 : 9,514.11 = 3,750.55 : x
  2. Step 2: Convert to fraction form
    6,894.25/9,514.11 = 3,750.55/x
  3. Step 3: Cross multiply
    6,894.25x = 9,514.11 × 3,750.55
  4. Step 4: Simplify right side
    6,894.25x = 35,683,145.26
  5. Step 5: Solve for x
    x = 35,683,145.26/6,894.25
  6. Step 6: Final answer
    x = 5,175.78

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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.