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Finding the Fourth Proportional to 9,205.38, 12,703.50 and 5,013.54

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Solution

The fourth proportional to 9,205.38, 12,703.50 and 5,013.54 is: 6,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.38 : 12,703.50 = 5,013.54 : x
  2. Step 2: Convert to fraction form
    9,205.38/12,703.50 = 5,013.54/x
  3. Step 3: Cross multiply
    9,205.38x = 12,703.50 × 5,013.54
  4. Step 4: Simplify right side
    9,205.38x = 63,689,505.39
  5. Step 5: Solve for x
    x = 63,689,505.39/9,205.38
  6. Step 6: Final answer
    x = 6,918.73

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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.