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Finding the Fourth Proportional to 9,346.38, 12,889.71 and 9,299.85

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Solution

The fourth proportional to 9,346.38, 12,889.71 and 9,299.85 is: 12,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.38 : 12,889.71 = 9,299.85 : x
  2. Step 2: Convert to fraction form
    9,346.38/12,889.71 = 9,299.85/x
  3. Step 3: Cross multiply
    9,346.38x = 12,889.71 × 9,299.85
  4. Step 4: Simplify right side
    9,346.38x = 119,872,369.54
  5. Step 5: Solve for x
    x = 119,872,369.54/9,346.38
  6. Step 6: Final answer
    x = 12,825.54

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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.