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Finding the Fourth Proportional to 8,223.92, 12,337.70 and 3,838.98

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Solution

The fourth proportional to 8,223.92, 12,337.70 and 3,838.98 is: 5,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.92 : 12,337.70 = 3,838.98 : x
  2. Step 2: Convert to fraction form
    8,223.92/12,337.70 = 3,838.98/x
  3. Step 3: Cross multiply
    8,223.92x = 12,337.70 × 3,838.98
  4. Step 4: Simplify right side
    8,223.92x = 47,364,164.35
  5. Step 5: Solve for x
    x = 47,364,164.35/8,223.92
  6. Step 6: Final answer
    x = 5,759.32

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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.