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Finding the Fourth Proportional to 9,185.94, 12,676.73 and 4,994.19

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Solution

The fourth proportional to 9,185.94, 12,676.73 and 4,994.19 is: 6,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.94 : 12,676.73 = 4,994.19 : x
  2. Step 2: Convert to fraction form
    9,185.94/12,676.73 = 4,994.19/x
  3. Step 3: Cross multiply
    9,185.94x = 12,676.73 × 4,994.19
  4. Step 4: Simplify right side
    9,185.94x = 63,309,973.23
  5. Step 5: Solve for x
    x = 63,309,973.23/9,185.94
  6. Step 6: Final answer
    x = 6,892.05

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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.