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Finding the Fourth Proportional to 9,021.69, 13,530.09 and 3,175.11

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Solution

The fourth proportional to 9,021.69, 13,530.09 and 3,175.11 is: 4,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.69 : 13,530.09 = 3,175.11 : x
  2. Step 2: Convert to fraction form
    9,021.69/13,530.09 = 3,175.11/x
  3. Step 3: Cross multiply
    9,021.69x = 13,530.09 × 3,175.11
  4. Step 4: Simplify right side
    9,021.69x = 42,959,524.06
  5. Step 5: Solve for x
    x = 42,959,524.06/9,021.69
  6. Step 6: Final answer
    x = 4,761.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.