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Finding the Fourth Proportional to 9,185.92, 12,676.56 and 4,994.16

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Solution

The fourth proportional to 9,185.92, 12,676.56 and 4,994.16 is: 6,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.92 : 12,676.56 = 4,994.16 : x
  2. Step 2: Convert to fraction form
    9,185.92/12,676.56 = 4,994.16/x
  3. Step 3: Cross multiply
    9,185.92x = 12,676.56 × 4,994.16
  4. Step 4: Simplify right side
    9,185.92x = 63,308,768.89
  5. Step 5: Solve for x
    x = 63,308,768.89/9,185.92
  6. Step 6: Final answer
    x = 6,891.94

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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.