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Finding the Fourth Proportional to 9,285, 13,911.30 and 7,734.96

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Solution

The fourth proportional to 9,285, 13,911.30 and 7,734.96 is: 11,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285 : 13,911.30 = 7,734.96 : x
  2. Step 2: Convert to fraction form
    9,285/13,911.30 = 7,734.96/x
  3. Step 3: Cross multiply
    9,285x = 13,911.30 × 7,734.96
  4. Step 4: Simplify right side
    9,285x = 107,603,349.05
  5. Step 5: Solve for x
    x = 107,603,349.05/9,285
  6. Step 6: Final answer
    x = 11,588.94

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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.