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Finding the Fourth Proportional to 8,289.20, 12,442.98 and 4,128.09

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Solution

The fourth proportional to 8,289.20, 12,442.98 and 4,128.09 is: 6,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.20 : 12,442.98 = 4,128.09 : x
  2. Step 2: Convert to fraction form
    8,289.20/12,442.98 = 4,128.09/x
  3. Step 3: Cross multiply
    8,289.20x = 12,442.98 × 4,128.09
  4. Step 4: Simplify right side
    8,289.20x = 51,365,741.31
  5. Step 5: Solve for x
    x = 51,365,741.31/8,289.20
  6. Step 6: Final answer
    x = 6,196.71

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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.