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Finding the Fourth Proportional to 9,114.94, 13,673.16 and 2,541.16

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Solution

The fourth proportional to 9,114.94, 13,673.16 and 2,541.16 is: 3,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.94 : 13,673.16 = 2,541.16 : x
  2. Step 2: Convert to fraction form
    9,114.94/13,673.16 = 2,541.16/x
  3. Step 3: Cross multiply
    9,114.94x = 13,673.16 × 2,541.16
  4. Step 4: Simplify right side
    9,114.94x = 34,745,687.27
  5. Step 5: Solve for x
    x = 34,745,687.27/9,114.94
  6. Step 6: Final answer
    x = 3,811.95

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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.