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Finding the Fourth Proportional to 9,575.69, 13,220.82 and 8,564.20

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Solution

The fourth proportional to 9,575.69, 13,220.82 and 8,564.20 is: 11,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.69 : 13,220.82 = 8,564.20 : x
  2. Step 2: Convert to fraction form
    9,575.69/13,220.82 = 8,564.20/x
  3. Step 3: Cross multiply
    9,575.69x = 13,220.82 × 8,564.20
  4. Step 4: Simplify right side
    9,575.69x = 113,225,713.59
  5. Step 5: Solve for x
    x = 113,225,713.59/9,575.69
  6. Step 6: Final answer
    x = 11,824.29

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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.