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Finding the Fourth Proportional to 9,114.92, 13,672.39 and 2,541.28

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Solution

The fourth proportional to 9,114.92, 13,672.39 and 2,541.28 is: 3,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.92 : 13,672.39 = 2,541.28 : x
  2. Step 2: Convert to fraction form
    9,114.92/13,672.39 = 2,541.28/x
  3. Step 3: Cross multiply
    9,114.92x = 13,672.39 × 2,541.28
  4. Step 4: Simplify right side
    9,114.92x = 34,745,371.26
  5. Step 5: Solve for x
    x = 34,745,371.26/9,114.92
  6. Step 6: Final answer
    x = 3,811.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.