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Finding the Fourth Proportional to 9,304.69, 13,957.13 and 2,731

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Solution

The fourth proportional to 9,304.69, 13,957.13 and 2,731 is: 4,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.69 : 13,957.13 = 2,731 : x
  2. Step 2: Convert to fraction form
    9,304.69/13,957.13 = 2,731/x
  3. Step 3: Cross multiply
    9,304.69x = 13,957.13 × 2,731
  4. Step 4: Simplify right side
    9,304.69x = 38,116,922.03
  5. Step 5: Solve for x
    x = 38,116,922.03/9,304.69
  6. Step 6: Final answer
    x = 4,096.53

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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.