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Finding the Fourth Proportional to 9,339.57, 12,890.34 and 5,306.38

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Solution

The fourth proportional to 9,339.57, 12,890.34 and 5,306.38 is: 7,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.57 : 12,890.34 = 5,306.38 : x
  2. Step 2: Convert to fraction form
    9,339.57/12,890.34 = 5,306.38/x
  3. Step 3: Cross multiply
    9,339.57x = 12,890.34 × 5,306.38
  4. Step 4: Simplify right side
    9,339.57x = 68,401,042.37
  5. Step 5: Solve for x
    x = 68,401,042.37/9,339.57
  6. Step 6: Final answer
    x = 7,323.79

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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.