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Finding the Fourth Proportional to 9,701.38, 13,383.66 and 5,923.09

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Solution

The fourth proportional to 9,701.38, 13,383.66 and 5,923.09 is: 8,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.38 : 13,383.66 = 5,923.09 : x
  2. Step 2: Convert to fraction form
    9,701.38/13,383.66 = 5,923.09/x
  3. Step 3: Cross multiply
    9,701.38x = 13,383.66 × 5,923.09
  4. Step 4: Simplify right side
    9,701.38x = 79,272,622.71
  5. Step 5: Solve for x
    x = 79,272,622.71/9,701.38
  6. Step 6: Final answer
    x = 8,171.27

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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.