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Finding the Fourth Proportional to 9,450.74, 14,174.87 and 3,210.50

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Solution

The fourth proportional to 9,450.74, 14,174.87 and 3,210.50 is: 4,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.74 : 14,174.87 = 3,210.50 : x
  2. Step 2: Convert to fraction form
    9,450.74/14,174.87 = 3,210.50/x
  3. Step 3: Cross multiply
    9,450.74x = 14,174.87 × 3,210.50
  4. Step 4: Simplify right side
    9,450.74x = 45,508,439.52
  5. Step 5: Solve for x
    x = 45,508,439.52/9,450.74
  6. Step 6: Final answer
    x = 4,815.33

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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.