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Finding the Fourth Proportional to 9,220.38, 12,720.09 and 6,235.14

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Solution

The fourth proportional to 9,220.38, 12,720.09 and 6,235.14 is: 8,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.38 : 12,720.09 = 6,235.14 : x
  2. Step 2: Convert to fraction form
    9,220.38/12,720.09 = 6,235.14/x
  3. Step 3: Cross multiply
    9,220.38x = 12,720.09 × 6,235.14
  4. Step 4: Simplify right side
    9,220.38x = 79,311,541.96
  5. Step 5: Solve for x
    x = 79,311,541.96/9,220.38
  6. Step 6: Final answer
    x = 8,601.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.