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Finding the Fourth Proportional to 9,619, 13,274.22 and 6,829.36

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Solution

The fourth proportional to 9,619, 13,274.22 and 6,829.36 is: 9,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619 : 13,274.22 = 6,829.36 : x
  2. Step 2: Convert to fraction form
    9,619/13,274.22 = 6,829.36/x
  3. Step 3: Cross multiply
    9,619x = 13,274.22 × 6,829.36
  4. Step 4: Simplify right side
    9,619x = 90,654,427.10
  5. Step 5: Solve for x
    x = 90,654,427.10/9,619
  6. Step 6: Final answer
    x = 9,424.52

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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.