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Finding the Fourth Proportional to 9,940.40, 14,910.60 and 6,441.20

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Solution

The fourth proportional to 9,940.40, 14,910.60 and 6,441.20 is: 9,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.40 : 14,910.60 = 6,441.20 : x
  2. Step 2: Convert to fraction form
    9,940.40/14,910.60 = 6,441.20/x
  3. Step 3: Cross multiply
    9,940.40x = 14,910.60 × 6,441.20
  4. Step 4: Simplify right side
    9,940.40x = 96,042,156.72
  5. Step 5: Solve for x
    x = 96,042,156.72/9,940.40
  6. Step 6: Final answer
    x = 9,661.80

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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.