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Finding the Fourth Proportional to 6,322.80, 9,486.23 and 3,200.05

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Solution

The fourth proportional to 6,322.80, 9,486.23 and 3,200.05 is: 4,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.80 : 9,486.23 = 3,200.05 : x
  2. Step 2: Convert to fraction form
    6,322.80/9,486.23 = 3,200.05/x
  3. Step 3: Cross multiply
    6,322.80x = 9,486.23 × 3,200.05
  4. Step 4: Simplify right side
    6,322.80x = 30,356,370.60
  5. Step 5: Solve for x
    x = 30,356,370.60/6,322.80
  6. Step 6: Final answer
    x = 4,801.10

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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.