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Finding the Fourth Proportional to 9,293.98, 13,940.92 and 2,274.04

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Solution

The fourth proportional to 9,293.98, 13,940.92 and 2,274.04 is: 3,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.98 : 13,940.92 = 2,274.04 : x
  2. Step 2: Convert to fraction form
    9,293.98/13,940.92 = 2,274.04/x
  3. Step 3: Cross multiply
    9,293.98x = 13,940.92 × 2,274.04
  4. Step 4: Simplify right side
    9,293.98x = 31,702,209.72
  5. Step 5: Solve for x
    x = 31,702,209.72/9,293.98
  6. Step 6: Final answer
    x = 3,411.05

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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.