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Finding the Fourth Proportional to 8,478.09, 12,714.62 and 3,209.19

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Solution

The fourth proportional to 8,478.09, 12,714.62 and 3,209.19 is: 4,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.09 : 12,714.62 = 3,209.19 : x
  2. Step 2: Convert to fraction form
    8,478.09/12,714.62 = 3,209.19/x
  3. Step 3: Cross multiply
    8,478.09x = 12,714.62 × 3,209.19
  4. Step 4: Simplify right side
    8,478.09x = 40,803,692.96
  5. Step 5: Solve for x
    x = 40,803,692.96/8,478.09
  6. Step 6: Final answer
    x = 4,812.84

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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.