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Finding the Fourth Proportional to 6,074.54, 9,114.69 and 3,614.21

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Solution

The fourth proportional to 6,074.54, 9,114.69 and 3,614.21 is: 5,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.54 : 9,114.69 = 3,614.21 : x
  2. Step 2: Convert to fraction form
    6,074.54/9,114.69 = 3,614.21/x
  3. Step 3: Cross multiply
    6,074.54x = 9,114.69 × 3,614.21
  4. Step 4: Simplify right side
    6,074.54x = 32,942,403.74
  5. Step 5: Solve for x
    x = 32,942,403.74/6,074.54
  6. Step 6: Final answer
    x = 5,423.03

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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.