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Finding the Fourth Proportional to 6,122.69, 9,178.10 and 2,423.69

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Solution

The fourth proportional to 6,122.69, 9,178.10 and 2,423.69 is: 3,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.69 : 9,178.10 = 2,423.69 : x
  2. Step 2: Convert to fraction form
    6,122.69/9,178.10 = 2,423.69/x
  3. Step 3: Cross multiply
    6,122.69x = 9,178.10 × 2,423.69
  4. Step 4: Simplify right side
    6,122.69x = 22,244,857.07
  5. Step 5: Solve for x
    x = 22,244,857.07/6,122.69
  6. Step 6: Final answer
    x = 3,633.18

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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.