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Finding the Fourth Proportional to 9,204.37, 12,702.71 and 5,171.66

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Solution

The fourth proportional to 9,204.37, 12,702.71 and 5,171.66 is: 7,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.37 : 12,702.71 = 5,171.66 : x
  2. Step 2: Convert to fraction form
    9,204.37/12,702.71 = 5,171.66/x
  3. Step 3: Cross multiply
    9,204.37x = 12,702.71 × 5,171.66
  4. Step 4: Simplify right side
    9,204.37x = 65,694,064.65
  5. Step 5: Solve for x
    x = 65,694,064.65/9,204.37
  6. Step 6: Final answer
    x = 7,137.27

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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.