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Finding the Fourth Proportional to 6,321.82, 9,485.93 and 4,265.50

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Solution

The fourth proportional to 6,321.82, 9,485.93 and 4,265.50 is: 6,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.82 : 9,485.93 = 4,265.50 : x
  2. Step 2: Convert to fraction form
    6,321.82/9,485.93 = 4,265.50/x
  3. Step 3: Cross multiply
    6,321.82x = 9,485.93 × 4,265.50
  4. Step 4: Simplify right side
    6,321.82x = 40,462,234.42
  5. Step 5: Solve for x
    x = 40,462,234.42/6,321.82
  6. Step 6: Final answer
    x = 6,400.41

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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.