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Finding the Fourth Proportional to 9,450, 14,176.86 and 5,295.90

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Solution

The fourth proportional to 9,450, 14,176.86 and 5,295.90 is: 7,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 14,176.86 = 5,295.90 : x
  2. Step 2: Convert to fraction form
    9,450/14,176.86 = 5,295.90/x
  3. Step 3: Cross multiply
    9,450x = 14,176.86 × 5,295.90
  4. Step 4: Simplify right side
    9,450x = 75,079,232.87
  5. Step 5: Solve for x
    x = 75,079,232.87/9,450
  6. Step 6: Final answer
    x = 7,944.89

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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.