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Finding the Fourth Proportional to 8,209.17, 12,312.09 and 2,364.21

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Solution

The fourth proportional to 8,209.17, 12,312.09 and 2,364.21 is: 3,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.17 : 12,312.09 = 2,364.21 : x
  2. Step 2: Convert to fraction form
    8,209.17/12,312.09 = 2,364.21/x
  3. Step 3: Cross multiply
    8,209.17x = 12,312.09 × 2,364.21
  4. Step 4: Simplify right side
    8,209.17x = 29,108,366.30
  5. Step 5: Solve for x
    x = 29,108,366.30/8,209.17
  6. Step 6: Final answer
    x = 3,545.84

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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.