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Finding the Fourth Proportional to 9,419.29, 12,965.97 and 8,142.56

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Solution

The fourth proportional to 9,419.29, 12,965.97 and 8,142.56 is: 11,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.29 : 12,965.97 = 8,142.56 : x
  2. Step 2: Convert to fraction form
    9,419.29/12,965.97 = 8,142.56/x
  3. Step 3: Cross multiply
    9,419.29x = 12,965.97 × 8,142.56
  4. Step 4: Simplify right side
    9,419.29x = 105,576,203.01
  5. Step 5: Solve for x
    x = 105,576,203.01/9,419.29
  6. Step 6: Final answer
    x = 11,208.51

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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.