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Finding the Fourth Proportional to 9,564, 13,195.08 and 6,028.08

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Solution

The fourth proportional to 9,564, 13,195.08 and 6,028.08 is: 8,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 13,195.08 = 6,028.08 : x
  2. Step 2: Convert to fraction form
    9,564/13,195.08 = 6,028.08/x
  3. Step 3: Cross multiply
    9,564x = 13,195.08 × 6,028.08
  4. Step 4: Simplify right side
    9,564x = 79,540,997.85
  5. Step 5: Solve for x
    x = 79,540,997.85/9,564
  6. Step 6: Final answer
    x = 8,316.71

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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.