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Finding the Fourth Proportional to 9,614.38, 13,257.60 and 7,594.24

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Solution

The fourth proportional to 9,614.38, 13,257.60 and 7,594.24 is: 10,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.38 : 13,257.60 = 7,594.24 : x
  2. Step 2: Convert to fraction form
    9,614.38/13,257.60 = 7,594.24/x
  3. Step 3: Cross multiply
    9,614.38x = 13,257.60 × 7,594.24
  4. Step 4: Simplify right side
    9,614.38x = 100,681,334.60
  5. Step 5: Solve for x
    x = 100,681,334.60/9,614.38
  6. Step 6: Final answer
    x = 10,471.96

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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.