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Finding the Fourth Proportional to 9,297.38, 12,830.68 and 5,105.63

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Solution

The fourth proportional to 9,297.38, 12,830.68 and 5,105.63 is: 7,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.38 : 12,830.68 = 5,105.63 : x
  2. Step 2: Convert to fraction form
    9,297.38/12,830.68 = 5,105.63/x
  3. Step 3: Cross multiply
    9,297.38x = 12,830.68 × 5,105.63
  4. Step 4: Simplify right side
    9,297.38x = 65,508,704.73
  5. Step 5: Solve for x
    x = 65,508,704.73/9,297.38
  6. Step 6: Final answer
    x = 7,045.93

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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.