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Finding the Fourth Proportional to 9,316.78, 13,974.99 and 3,769.90

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Solution

The fourth proportional to 9,316.78, 13,974.99 and 3,769.90 is: 5,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.78 : 13,974.99 = 3,769.90 : x
  2. Step 2: Convert to fraction form
    9,316.78/13,974.99 = 3,769.90/x
  3. Step 3: Cross multiply
    9,316.78x = 13,974.99 × 3,769.90
  4. Step 4: Simplify right side
    9,316.78x = 52,684,314.80
  5. Step 5: Solve for x
    x = 52,684,314.80/9,316.78
  6. Step 6: Final answer
    x = 5,654.78

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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.