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Finding the Fourth Proportional to 7,192.46, 9,926.46 and 4,049.24

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Solution

The fourth proportional to 7,192.46, 9,926.46 and 4,049.24 is: 5,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.46 : 9,926.46 = 4,049.24 : x
  2. Step 2: Convert to fraction form
    7,192.46/9,926.46 = 4,049.24/x
  3. Step 3: Cross multiply
    7,192.46x = 9,926.46 × 4,049.24
  4. Step 4: Simplify right side
    7,192.46x = 40,194,618.89
  5. Step 5: Solve for x
    x = 40,194,618.89/7,192.46
  6. Step 6: Final answer
    x = 5,588.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.