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Finding the Fourth Proportional to 9,184.92, 12,674.88 and 5,206.38

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Solution

The fourth proportional to 9,184.92, 12,674.88 and 5,206.38 is: 7,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.92 : 12,674.88 = 5,206.38 : x
  2. Step 2: Convert to fraction form
    9,184.92/12,674.88 = 5,206.38/x
  3. Step 3: Cross multiply
    9,184.92x = 12,674.88 × 5,206.38
  4. Step 4: Simplify right side
    9,184.92x = 65,990,241.73
  5. Step 5: Solve for x
    x = 65,990,241.73/9,184.92
  6. Step 6: Final answer
    x = 7,184.63

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Why These Related Problems?

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