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Finding the Fourth Proportional to 7,170.26, 9,891.95 and 5,176.44

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Solution

The fourth proportional to 7,170.26, 9,891.95 and 5,176.44 is: 7,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.26 : 9,891.95 = 5,176.44 : x
  2. Step 2: Convert to fraction form
    7,170.26/9,891.95 = 5,176.44/x
  3. Step 3: Cross multiply
    7,170.26x = 9,891.95 × 5,176.44
  4. Step 4: Simplify right side
    7,170.26x = 51,205,059.78
  5. Step 5: Solve for x
    x = 51,205,059.78/7,170.26
  6. Step 6: Final answer
    x = 7,141.32

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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.