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Finding the Fourth Proportional to 9,257.30, 13,853.64 and 7,571.94

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Solution

The fourth proportional to 9,257.30, 13,853.64 and 7,571.94 is: 11,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.30 : 13,853.64 = 7,571.94 : x
  2. Step 2: Convert to fraction form
    9,257.30/13,853.64 = 7,571.94/x
  3. Step 3: Cross multiply
    9,257.30x = 13,853.64 × 7,571.94
  4. Step 4: Simplify right side
    9,257.30x = 104,898,930.86
  5. Step 5: Solve for x
    x = 104,898,930.86/9,257.30
  6. Step 6: Final answer
    x = 11,331.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.