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Finding the Fourth Proportional to 9,850.68, 14,780.34 and 3,277.80

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Solution

The fourth proportional to 9,850.68, 14,780.34 and 3,277.80 is: 4,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.68 : 14,780.34 = 3,277.80 : x
  2. Step 2: Convert to fraction form
    9,850.68/14,780.34 = 3,277.80/x
  3. Step 3: Cross multiply
    9,850.68x = 14,780.34 × 3,277.80
  4. Step 4: Simplify right side
    9,850.68x = 48,446,998.45
  5. Step 5: Solve for x
    x = 48,446,998.45/9,850.68
  6. Step 6: Final answer
    x = 4,918.14

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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.