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Finding the Fourth Proportional to 7,148.49, 9,864.12 and 4,163.70

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Solution

The fourth proportional to 7,148.49, 9,864.12 and 4,163.70 is: 5,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.49 : 9,864.12 = 4,163.70 : x
  2. Step 2: Convert to fraction form
    7,148.49/9,864.12 = 4,163.70/x
  3. Step 3: Cross multiply
    7,148.49x = 9,864.12 × 4,163.70
  4. Step 4: Simplify right side
    7,148.49x = 41,071,236.44
  5. Step 5: Solve for x
    x = 41,071,236.44/7,148.49
  6. Step 6: Final answer
    x = 5,745.44

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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.