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Finding the Fourth Proportional to 8,205.60, 12,308.40 and 6,237.30

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Solution

The fourth proportional to 8,205.60, 12,308.40 and 6,237.30 is: 9,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.60 : 12,308.40 = 6,237.30 : x
  2. Step 2: Convert to fraction form
    8,205.60/12,308.40 = 6,237.30/x
  3. Step 3: Cross multiply
    8,205.60x = 12,308.40 × 6,237.30
  4. Step 4: Simplify right side
    8,205.60x = 76,771,183.32
  5. Step 5: Solve for x
    x = 76,771,183.32/8,205.60
  6. Step 6: Final answer
    x = 9,355.95

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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.