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Finding the Fourth Proportional to 8,217.94, 12,309.63 and 3,838.90

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Solution

The fourth proportional to 8,217.94, 12,309.63 and 3,838.90 is: 5,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.94 : 12,309.63 = 3,838.90 : x
  2. Step 2: Convert to fraction form
    8,217.94/12,309.63 = 3,838.90/x
  3. Step 3: Cross multiply
    8,217.94x = 12,309.63 × 3,838.90
  4. Step 4: Simplify right side
    8,217.94x = 47,255,438.61
  5. Step 5: Solve for x
    x = 47,255,438.61/8,217.94
  6. Step 6: Final answer
    x = 5,750.28

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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.