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Finding the Fourth Proportional to 9,415.38, 12,993.83 and 5,223.63

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Solution

The fourth proportional to 9,415.38, 12,993.83 and 5,223.63 is: 7,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.38 : 12,993.83 = 5,223.63 : x
  2. Step 2: Convert to fraction form
    9,415.38/12,993.83 = 5,223.63/x
  3. Step 3: Cross multiply
    9,415.38x = 12,993.83 × 5,223.63
  4. Step 4: Simplify right side
    9,415.38x = 67,874,960.20
  5. Step 5: Solve for x
    x = 67,874,960.20/9,415.38
  6. Step 6: Final answer
    x = 7,208.95

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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.