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Finding the Fourth Proportional to 9,109.28, 12,570.99 and 5,524.22

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Solution

The fourth proportional to 9,109.28, 12,570.99 and 5,524.22 is: 7,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.28 : 12,570.99 = 5,524.22 : x
  2. Step 2: Convert to fraction form
    9,109.28/12,570.99 = 5,524.22/x
  3. Step 3: Cross multiply
    9,109.28x = 12,570.99 × 5,524.22
  4. Step 4: Simplify right side
    9,109.28x = 69,444,914.38
  5. Step 5: Solve for x
    x = 69,444,914.38/9,109.28
  6. Step 6: Final answer
    x = 7,623.53

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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.