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Finding the Fourth Proportional to 9,205.73, 12,704.06 and 5,013.98

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Solution

The fourth proportional to 9,205.73, 12,704.06 and 5,013.98 is: 6,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.73 : 12,704.06 = 5,013.98 : x
  2. Step 2: Convert to fraction form
    9,205.73/12,704.06 = 5,013.98/x
  3. Step 3: Cross multiply
    9,205.73x = 12,704.06 × 5,013.98
  4. Step 4: Simplify right side
    9,205.73x = 63,697,902.76
  5. Step 5: Solve for x
    x = 63,697,902.76/9,205.73
  6. Step 6: Final answer
    x = 6,919.38

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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.