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Finding the Fourth Proportional to 9,541.74, 14,310.93 and 2,614.38

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Solution

The fourth proportional to 9,541.74, 14,310.93 and 2,614.38 is: 3,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.74 : 14,310.93 = 2,614.38 : x
  2. Step 2: Convert to fraction form
    9,541.74/14,310.93 = 2,614.38/x
  3. Step 3: Cross multiply
    9,541.74x = 14,310.93 × 2,614.38
  4. Step 4: Simplify right side
    9,541.74x = 37,414,209.17
  5. Step 5: Solve for x
    x = 37,414,209.17/9,541.74
  6. Step 6: Final answer
    x = 3,921.11

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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.