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Finding the Fourth Proportional to 6,303.66, 9,453.81 and 3,829.92

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Solution

The fourth proportional to 6,303.66, 9,453.81 and 3,829.92 is: 5,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.66 : 9,453.81 = 3,829.92 : x
  2. Step 2: Convert to fraction form
    6,303.66/9,453.81 = 3,829.92/x
  3. Step 3: Cross multiply
    6,303.66x = 9,453.81 × 3,829.92
  4. Step 4: Simplify right side
    6,303.66x = 36,207,336.00
  5. Step 5: Solve for x
    x = 36,207,336.00/6,303.66
  6. Step 6: Final answer
    x = 5,743.86

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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.