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Finding the Fourth Proportional to 8,204.70, 12,312.53 and 6,127.05

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Solution

The fourth proportional to 8,204.70, 12,312.53 and 6,127.05 is: 9,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.70 : 12,312.53 = 6,127.05 : x
  2. Step 2: Convert to fraction form
    8,204.70/12,312.53 = 6,127.05/x
  3. Step 3: Cross multiply
    8,204.70x = 12,312.53 × 6,127.05
  4. Step 4: Simplify right side
    8,204.70x = 75,439,456.30
  5. Step 5: Solve for x
    x = 75,439,456.30/8,204.70
  6. Step 6: Final answer
    x = 9,194.66

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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.