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Finding the Fourth Proportional to 7,140.72, 9,854.37 and 3,954.24

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Solution

The fourth proportional to 7,140.72, 9,854.37 and 3,954.24 is: 5,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.72 : 9,854.37 = 3,954.24 : x
  2. Step 2: Convert to fraction form
    7,140.72/9,854.37 = 3,954.24/x
  3. Step 3: Cross multiply
    7,140.72x = 9,854.37 × 3,954.24
  4. Step 4: Simplify right side
    7,140.72x = 38,966,544.03
  5. Step 5: Solve for x
    x = 38,966,544.03/7,140.72
  6. Step 6: Final answer
    x = 5,456.95

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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.