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Finding the Fourth Proportional to 6,352.67, 9,523.32 and 3,230.93

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Solution

The fourth proportional to 6,352.67, 9,523.32 and 3,230.93 is: 4,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.67 : 9,523.32 = 3,230.93 : x
  2. Step 2: Convert to fraction form
    6,352.67/9,523.32 = 3,230.93/x
  3. Step 3: Cross multiply
    6,352.67x = 9,523.32 × 3,230.93
  4. Step 4: Simplify right side
    6,352.67x = 30,769,132.67
  5. Step 5: Solve for x
    x = 30,769,132.67/6,352.67
  6. Step 6: Final answer
    x = 4,843.50

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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.