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Finding the Fourth Proportional to 29,286, 43,928.72 and 9,564.48

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Solution

The fourth proportional to 29,286, 43,928.72 and 9,564.48 is: 14,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286 : 43,928.72 = 9,564.48 : x
  2. Step 2: Convert to fraction form
    29,286/43,928.72 = 9,564.48/x
  3. Step 3: Cross multiply
    29,286x = 43,928.72 × 9,564.48
  4. Step 4: Simplify right side
    29,286x = 420,155,363.87
  5. Step 5: Solve for x
    x = 420,155,363.87/29,286
  6. Step 6: Final answer
    x = 14,346.63

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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.