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Finding the Fourth Proportional to 9,796.44, 13,523.22 and 6,614.04

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Solution

The fourth proportional to 9,796.44, 13,523.22 and 6,614.04 is: 9,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.44 : 13,523.22 = 6,614.04 : x
  2. Step 2: Convert to fraction form
    9,796.44/13,523.22 = 6,614.04/x
  3. Step 3: Cross multiply
    9,796.44x = 13,523.22 × 6,614.04
  4. Step 4: Simplify right side
    9,796.44x = 89,443,151.82
  5. Step 5: Solve for x
    x = 89,443,151.82/9,796.44
  6. Step 6: Final answer
    x = 9,130.17

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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.