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Finding the Fourth Proportional to 9,265.28, 13,906.56 and 7,658.24

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Solution

The fourth proportional to 9,265.28, 13,906.56 and 7,658.24 is: 11,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.28 : 13,906.56 = 7,658.24 : x
  2. Step 2: Convert to fraction form
    9,265.28/13,906.56 = 7,658.24/x
  3. Step 3: Cross multiply
    9,265.28x = 13,906.56 × 7,658.24
  4. Step 4: Simplify right side
    9,265.28x = 106,499,774.05
  5. Step 5: Solve for x
    x = 106,499,774.05/9,265.28
  6. Step 6: Final answer
    x = 11,494.50

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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.