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Finding the Fourth Proportional to 9,839.80, 14,759.70 and 3,266.20

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Solution

The fourth proportional to 9,839.80, 14,759.70 and 3,266.20 is: 4,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.80 : 14,759.70 = 3,266.20 : x
  2. Step 2: Convert to fraction form
    9,839.80/14,759.70 = 3,266.20/x
  3. Step 3: Cross multiply
    9,839.80x = 14,759.70 × 3,266.20
  4. Step 4: Simplify right side
    9,839.80x = 48,208,132.14
  5. Step 5: Solve for x
    x = 48,208,132.14/9,839.80
  6. Step 6: Final answer
    x = 4,899.30

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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.