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Finding the Fourth Proportional to 9,109.42, 12,571.09 and 5,523.20

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Solution

The fourth proportional to 9,109.42, 12,571.09 and 5,523.20 is: 7,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.42 : 12,571.09 = 5,523.20 : x
  2. Step 2: Convert to fraction form
    9,109.42/12,571.09 = 5,523.20/x
  3. Step 3: Cross multiply
    9,109.42x = 12,571.09 × 5,523.20
  4. Step 4: Simplify right side
    9,109.42x = 69,432,644.29
  5. Step 5: Solve for x
    x = 69,432,644.29/9,109.42
  6. Step 6: Final answer
    x = 7,622.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.