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Finding the Fourth Proportional to 7,228.13, 9,974.69 and 4,041.23

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Solution

The fourth proportional to 7,228.13, 9,974.69 and 4,041.23 is: 5,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.13 : 9,974.69 = 4,041.23 : x
  2. Step 2: Convert to fraction form
    7,228.13/9,974.69 = 4,041.23/x
  3. Step 3: Cross multiply
    7,228.13x = 9,974.69 × 4,041.23
  4. Step 4: Simplify right side
    7,228.13x = 40,310,016.47
  5. Step 5: Solve for x
    x = 40,310,016.47/7,228.13
  6. Step 6: Final answer
    x = 5,576.83

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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.