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Finding the Fourth Proportional to 8,309.91, 12,461.22 and 3,112.14

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Solution

The fourth proportional to 8,309.91, 12,461.22 and 3,112.14 is: 4,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.91 : 12,461.22 = 3,112.14 : x
  2. Step 2: Convert to fraction form
    8,309.91/12,461.22 = 3,112.14/x
  3. Step 3: Cross multiply
    8,309.91x = 12,461.22 × 3,112.14
  4. Step 4: Simplify right side
    8,309.91x = 38,781,061.21
  5. Step 5: Solve for x
    x = 38,781,061.21/8,309.91
  6. Step 6: Final answer
    x = 4,666.84

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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.