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Finding the Fourth Proportional to 9,764.33, 14,645.00 and 3,190.50

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Solution

The fourth proportional to 9,764.33, 14,645.00 and 3,190.50 is: 4,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.33 : 14,645.00 = 3,190.50 : x
  2. Step 2: Convert to fraction form
    9,764.33/14,645.00 = 3,190.50/x
  3. Step 3: Cross multiply
    9,764.33x = 14,645.00 × 3,190.50
  4. Step 4: Simplify right side
    9,764.33x = 46,724,880.48
  5. Step 5: Solve for x
    x = 46,724,880.48/9,764.33
  6. Step 6: Final answer
    x = 4,785.26

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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.