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Finding the Fourth Proportional to 9,660.20, 14,486.70 and 6,729.80

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Solution

The fourth proportional to 9,660.20, 14,486.70 and 6,729.80 is: 10,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.20 : 14,486.70 = 6,729.80 : x
  2. Step 2: Convert to fraction form
    9,660.20/14,486.70 = 6,729.80/x
  3. Step 3: Cross multiply
    9,660.20x = 14,486.70 × 6,729.80
  4. Step 4: Simplify right side
    9,660.20x = 97,492,593.66
  5. Step 5: Solve for x
    x = 97,492,593.66/9,660.20
  6. Step 6: Final answer
    x = 10,092.19

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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.