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Finding the Fourth Proportional to 9,194.84, 12,685.50 and 5,884.76

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Solution

The fourth proportional to 9,194.84, 12,685.50 and 5,884.76 is: 8,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.84 : 12,685.50 = 5,884.76 : x
  2. Step 2: Convert to fraction form
    9,194.84/12,685.50 = 5,884.76/x
  3. Step 3: Cross multiply
    9,194.84x = 12,685.50 × 5,884.76
  4. Step 4: Simplify right side
    9,194.84x = 74,651,122.98
  5. Step 5: Solve for x
    x = 74,651,122.98/9,194.84
  6. Step 6: Final answer
    x = 8,118.81

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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.