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Finding the Fourth Proportional to 9,316.74, 13,975.62 and 3,769.26

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Solution

The fourth proportional to 9,316.74, 13,975.62 and 3,769.26 is: 5,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.74 : 13,975.62 = 3,769.26 : x
  2. Step 2: Convert to fraction form
    9,316.74/13,975.62 = 3,769.26/x
  3. Step 3: Cross multiply
    9,316.74x = 13,975.62 × 3,769.26
  4. Step 4: Simplify right side
    9,316.74x = 52,677,745.44
  5. Step 5: Solve for x
    x = 52,677,745.44/9,316.74
  6. Step 6: Final answer
    x = 5,654.10

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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.