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Finding the Fourth Proportional to 8,142.22, 12,205.02 and 3,209.12

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Solution

The fourth proportional to 8,142.22, 12,205.02 and 3,209.12 is: 4,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.22 : 12,205.02 = 3,209.12 : x
  2. Step 2: Convert to fraction form
    8,142.22/12,205.02 = 3,209.12/x
  3. Step 3: Cross multiply
    8,142.22x = 12,205.02 × 3,209.12
  4. Step 4: Simplify right side
    8,142.22x = 39,167,312.76
  5. Step 5: Solve for x
    x = 39,167,312.76/8,142.22
  6. Step 6: Final answer
    x = 4,810.40

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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.