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Finding the Fourth Proportional to 9,185.86, 12,676.47 and 4,994.11

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Solution

The fourth proportional to 9,185.86, 12,676.47 and 4,994.11 is: 6,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.86 : 12,676.47 = 4,994.11 : x
  2. Step 2: Convert to fraction form
    9,185.86/12,676.47 = 4,994.11/x
  3. Step 3: Cross multiply
    9,185.86x = 12,676.47 × 4,994.11
  4. Step 4: Simplify right side
    9,185.86x = 63,307,622.21
  5. Step 5: Solve for x
    x = 63,307,622.21/9,185.86
  6. Step 6: Final answer
    x = 6,891.86

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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.