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Finding the Fourth Proportional to 8,549.39, 12,821.05 and 3,284.80

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Solution

The fourth proportional to 8,549.39, 12,821.05 and 3,284.80 is: 4,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.39 : 12,821.05 = 3,284.80 : x
  2. Step 2: Convert to fraction form
    8,549.39/12,821.05 = 3,284.80/x
  3. Step 3: Cross multiply
    8,549.39x = 12,821.05 × 3,284.80
  4. Step 4: Simplify right side
    8,549.39x = 42,114,557.09
  5. Step 5: Solve for x
    x = 42,114,557.09/8,549.39
  6. Step 6: Final answer
    x = 4,926.03

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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.