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Finding the Fourth Proportional to 7,184.49, 9,913.10 and 4,199.73

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Solution

The fourth proportional to 7,184.49, 9,913.10 and 4,199.73 is: 5,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.49 : 9,913.10 = 4,199.73 : x
  2. Step 2: Convert to fraction form
    7,184.49/9,913.10 = 4,199.73/x
  3. Step 3: Cross multiply
    7,184.49x = 9,913.10 × 4,199.73
  4. Step 4: Simplify right side
    7,184.49x = 41,632,343.46
  5. Step 5: Solve for x
    x = 41,632,343.46/7,184.49
  6. Step 6: Final answer
    x = 5,794.75

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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.