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Finding the Fourth Proportional to 9,711.39, 13,401.30 and 5,462.38

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Solution

The fourth proportional to 9,711.39, 13,401.30 and 5,462.38 is: 7,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.39 : 13,401.30 = 5,462.38 : x
  2. Step 2: Convert to fraction form
    9,711.39/13,401.30 = 5,462.38/x
  3. Step 3: Cross multiply
    9,711.39x = 13,401.30 × 5,462.38
  4. Step 4: Simplify right side
    9,711.39x = 73,202,898.78
  5. Step 5: Solve for x
    x = 73,202,898.78/9,711.39
  6. Step 6: Final answer
    x = 7,537.84

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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.