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Finding the Fourth Proportional to 6,213.50, 9,323.72 and 4,829.61

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Solution

The fourth proportional to 6,213.50, 9,323.72 and 4,829.61 is: 7,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.50 : 9,323.72 = 4,829.61 : x
  2. Step 2: Convert to fraction form
    6,213.50/9,323.72 = 4,829.61/x
  3. Step 3: Cross multiply
    6,213.50x = 9,323.72 × 4,829.61
  4. Step 4: Simplify right side
    6,213.50x = 45,029,931.35
  5. Step 5: Solve for x
    x = 45,029,931.35/6,213.50
  6. Step 6: Final answer
    x = 7,247.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.