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Finding the Fourth Proportional to 6,115.54, 9,176.49 and 3,341.71

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Solution

The fourth proportional to 6,115.54, 9,176.49 and 3,341.71 is: 5,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.54 : 9,176.49 = 3,341.71 : x
  2. Step 2: Convert to fraction form
    6,115.54/9,176.49 = 3,341.71/x
  3. Step 3: Cross multiply
    6,115.54x = 9,176.49 × 3,341.71
  4. Step 4: Simplify right side
    6,115.54x = 30,665,168.40
  5. Step 5: Solve for x
    x = 30,665,168.40/6,115.54
  6. Step 6: Final answer
    x = 5,014.30

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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.