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Finding the Fourth Proportional to 6,321.32, 9,487.82 and 3,203.52

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Solution

The fourth proportional to 6,321.32, 9,487.82 and 3,203.52 is: 4,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.32 : 9,487.82 = 3,203.52 : x
  2. Step 2: Convert to fraction form
    6,321.32/9,487.82 = 3,203.52/x
  3. Step 3: Cross multiply
    6,321.32x = 9,487.82 × 3,203.52
  4. Step 4: Simplify right side
    6,321.32x = 30,394,421.13
  5. Step 5: Solve for x
    x = 30,394,421.13/6,321.32
  6. Step 6: Final answer
    x = 4,808.24

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