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Finding the Fourth Proportional to 7,062.98, 9,745.83 and 4,229.69

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Solution

The fourth proportional to 7,062.98, 9,745.83 and 4,229.69 is: 5,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.98 : 9,745.83 = 4,229.69 : x
  2. Step 2: Convert to fraction form
    7,062.98/9,745.83 = 4,229.69/x
  3. Step 3: Cross multiply
    7,062.98x = 9,745.83 × 4,229.69
  4. Step 4: Simplify right side
    7,062.98x = 41,221,839.69
  5. Step 5: Solve for x
    x = 41,221,839.69/7,062.98
  6. Step 6: Final answer
    x = 5,836.32

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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.