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Finding the Fourth Proportional to 9,542.81, 13,167.56 and 6,190.22

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Solution

The fourth proportional to 9,542.81, 13,167.56 and 6,190.22 is: 8,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.81 : 13,167.56 = 6,190.22 : x
  2. Step 2: Convert to fraction form
    9,542.81/13,167.56 = 6,190.22/x
  3. Step 3: Cross multiply
    9,542.81x = 13,167.56 × 6,190.22
  4. Step 4: Simplify right side
    9,542.81x = 81,510,141.66
  5. Step 5: Solve for x
    x = 81,510,141.66/9,542.81
  6. Step 6: Final answer
    x = 8,541.52

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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.