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Finding the Fourth Proportional to 6,338.52, 9,493.20 and 5,235.30

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Solution

The fourth proportional to 6,338.52, 9,493.20 and 5,235.30 is: 7,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.52 : 9,493.20 = 5,235.30 : x
  2. Step 2: Convert to fraction form
    6,338.52/9,493.20 = 5,235.30/x
  3. Step 3: Cross multiply
    6,338.52x = 9,493.20 × 5,235.30
  4. Step 4: Simplify right side
    6,338.52x = 49,699,749.96
  5. Step 5: Solve for x
    x = 49,699,749.96/6,338.52
  6. Step 6: Final answer
    x = 7,840.91

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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.