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Finding the Fourth Proportional to 9,808.38, 13,530.08 and 6,028.92

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Solution

The fourth proportional to 9,808.38, 13,530.08 and 6,028.92 is: 8,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.38 : 13,530.08 = 6,028.92 : x
  2. Step 2: Convert to fraction form
    9,808.38/13,530.08 = 6,028.92/x
  3. Step 3: Cross multiply
    9,808.38x = 13,530.08 × 6,028.92
  4. Step 4: Simplify right side
    9,808.38x = 81,571,769.91
  5. Step 5: Solve for x
    x = 81,571,769.91/9,808.38
  6. Step 6: Final answer
    x = 8,316.54

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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.