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Finding the Fourth Proportional to 9,014.20, 12,448.11 and 8,523.34

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Solution

The fourth proportional to 9,014.20, 12,448.11 and 8,523.34 is: 11,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.20 : 12,448.11 = 8,523.34 : x
  2. Step 2: Convert to fraction form
    9,014.20/12,448.11 = 8,523.34/x
  3. Step 3: Cross multiply
    9,014.20x = 12,448.11 × 8,523.34
  4. Step 4: Simplify right side
    9,014.20x = 106,099,473.89
  5. Step 5: Solve for x
    x = 106,099,473.89/9,014.20
  6. Step 6: Final answer
    x = 11,770.26

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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.