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Finding the Fourth Proportional to 6,894.97, 9,514.86 and 3,911.08

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Solution

The fourth proportional to 6,894.97, 9,514.86 and 3,911.08 is: 5,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.97 : 9,514.86 = 3,911.08 : x
  2. Step 2: Convert to fraction form
    6,894.97/9,514.86 = 3,911.08/x
  3. Step 3: Cross multiply
    6,894.97x = 9,514.86 × 3,911.08
  4. Step 4: Simplify right side
    6,894.97x = 37,213,378.65
  5. Step 5: Solve for x
    x = 37,213,378.65/6,894.97
  6. Step 6: Final answer
    x = 5,397.18

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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.