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Finding the Fourth Proportional to 9,858.90, 14,786.19 and 2,838.90

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Solution

The fourth proportional to 9,858.90, 14,786.19 and 2,838.90 is: 4,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.90 : 14,786.19 = 2,838.90 : x
  2. Step 2: Convert to fraction form
    9,858.90/14,786.19 = 2,838.90/x
  3. Step 3: Cross multiply
    9,858.90x = 14,786.19 × 2,838.90
  4. Step 4: Simplify right side
    9,858.90x = 41,976,514.79
  5. Step 5: Solve for x
    x = 41,976,514.79/9,858.90
  6. Step 6: Final answer
    x = 4,257.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.