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Finding the Fourth Proportional to 6,121.42, 9,167.54 and 3,343.94

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Solution

The fourth proportional to 6,121.42, 9,167.54 and 3,343.94 is: 5,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.42 : 9,167.54 = 3,343.94 : x
  2. Step 2: Convert to fraction form
    6,121.42/9,167.54 = 3,343.94/x
  3. Step 3: Cross multiply
    6,121.42x = 9,167.54 × 3,343.94
  4. Step 4: Simplify right side
    6,121.42x = 30,655,703.71
  5. Step 5: Solve for x
    x = 30,655,703.71/6,121.42
  6. Step 6: Final answer
    x = 5,007.94

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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.