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Finding the Fourth Proportional to 8,364.93, 12,549.27 and 2,817.84

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Solution

The fourth proportional to 8,364.93, 12,549.27 and 2,817.84 is: 4,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.93 : 12,549.27 = 2,817.84 : x
  2. Step 2: Convert to fraction form
    8,364.93/12,549.27 = 2,817.84/x
  3. Step 3: Cross multiply
    8,364.93x = 12,549.27 × 2,817.84
  4. Step 4: Simplify right side
    8,364.93x = 35,361,834.98
  5. Step 5: Solve for x
    x = 35,361,834.98/8,364.93
  6. Step 6: Final answer
    x = 4,227.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.