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Finding the Fourth Proportional to 6,486.20, 9,729.30 and 6,399.80

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Solution

The fourth proportional to 6,486.20, 9,729.30 and 6,399.80 is: 9,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.20 : 9,729.30 = 6,399.80 : x
  2. Step 2: Convert to fraction form
    6,486.20/9,729.30 = 6,399.80/x
  3. Step 3: Cross multiply
    6,486.20x = 9,729.30 × 6,399.80
  4. Step 4: Simplify right side
    6,486.20x = 62,265,574.14
  5. Step 5: Solve for x
    x = 62,265,574.14/6,486.20
  6. Step 6: Final answer
    x = 9,599.70

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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.