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Finding the Fourth Proportional to 7,141.79, 9,854.69 and 3,954.62

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Solution

The fourth proportional to 7,141.79, 9,854.69 and 3,954.62 is: 5,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.79 : 9,854.69 = 3,954.62 : x
  2. Step 2: Convert to fraction form
    7,141.79/9,854.69 = 3,954.62/x
  3. Step 3: Cross multiply
    7,141.79x = 9,854.69 × 3,954.62
  4. Step 4: Simplify right side
    7,141.79x = 38,971,485.12
  5. Step 5: Solve for x
    x = 38,971,485.12/7,141.79
  6. Step 6: Final answer
    x = 5,456.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.