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Finding the Fourth Proportional to 6,979.50, 9,633.13 and 4,147.94

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Solution

The fourth proportional to 6,979.50, 9,633.13 and 4,147.94 is: 5,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.50 : 9,633.13 = 4,147.94 : x
  2. Step 2: Convert to fraction form
    6,979.50/9,633.13 = 4,147.94/x
  3. Step 3: Cross multiply
    6,979.50x = 9,633.13 × 4,147.94
  4. Step 4: Simplify right side
    6,979.50x = 39,957,658.97
  5. Step 5: Solve for x
    x = 39,957,658.97/6,979.50
  6. Step 6: Final answer
    x = 5,725.00

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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.