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Finding the Fourth Proportional to 9,186.69, 12,677.76 and 4,994.94

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Solution

The fourth proportional to 9,186.69, 12,677.76 and 4,994.94 is: 6,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.69 : 12,677.76 = 4,994.94 : x
  2. Step 2: Convert to fraction form
    9,186.69/12,677.76 = 4,994.94/x
  3. Step 3: Cross multiply
    9,186.69x = 12,677.76 × 4,994.94
  4. Step 4: Simplify right side
    9,186.69x = 63,324,650.53
  5. Step 5: Solve for x
    x = 63,324,650.53/9,186.69
  6. Step 6: Final answer
    x = 6,893.09

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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.