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Finding the Fourth Proportional to 9,560.50, 14,338.02 and 4,015.09

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Solution

The fourth proportional to 9,560.50, 14,338.02 and 4,015.09 is: 6,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.50 : 14,338.02 = 4,015.09 : x
  2. Step 2: Convert to fraction form
    9,560.50/14,338.02 = 4,015.09/x
  3. Step 3: Cross multiply
    9,560.50x = 14,338.02 × 4,015.09
  4. Step 4: Simplify right side
    9,560.50x = 57,568,440.72
  5. Step 5: Solve for x
    x = 57,568,440.72/9,560.50
  6. Step 6: Final answer
    x = 6,021.49

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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.