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Finding the Fourth Proportional to 9,185.75, 12,676.38 and 4,994

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Solution

The fourth proportional to 9,185.75, 12,676.38 and 4,994 is: 6,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.75 : 12,676.38 = 4,994 : x
  2. Step 2: Convert to fraction form
    9,185.75/12,676.38 = 4,994/x
  3. Step 3: Cross multiply
    9,185.75x = 12,676.38 × 4,994
  4. Step 4: Simplify right side
    9,185.75x = 63,305,841.72
  5. Step 5: Solve for x
    x = 63,305,841.72/9,185.75
  6. Step 6: Final answer
    x = 6,891.74

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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.