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Finding the Fourth Proportional to 8,442.06, 12,644.28 and 5,969.40

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Solution

The fourth proportional to 8,442.06, 12,644.28 and 5,969.40 is: 8,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.06 : 12,644.28 = 5,969.40 : x
  2. Step 2: Convert to fraction form
    8,442.06/12,644.28 = 5,969.40/x
  3. Step 3: Cross multiply
    8,442.06x = 12,644.28 × 5,969.40
  4. Step 4: Simplify right side
    8,442.06x = 75,478,765.03
  5. Step 5: Solve for x
    x = 75,478,765.03/8,442.06
  6. Step 6: Final answer
    x = 8,940.80

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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.