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Finding the Fourth Proportional to 6,352.73, 9,529.73 and 2,192.19

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Solution

The fourth proportional to 6,352.73, 9,529.73 and 2,192.19 is: 3,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.73 : 9,529.73 = 2,192.19 : x
  2. Step 2: Convert to fraction form
    6,352.73/9,529.73 = 2,192.19/x
  3. Step 3: Cross multiply
    6,352.73x = 9,529.73 × 2,192.19
  4. Step 4: Simplify right side
    6,352.73x = 20,890,978.81
  5. Step 5: Solve for x
    x = 20,890,978.81/6,352.73
  6. Step 6: Final answer
    x = 3,288.50

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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.