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Finding the Fourth Proportional to 9,205.52, 12,702.42 and 5,227.00

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Solution

The fourth proportional to 9,205.52, 12,702.42 and 5,227.00 is: 7,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.52 : 12,702.42 = 5,227.00 : x
  2. Step 2: Convert to fraction form
    9,205.52/12,702.42 = 5,227.00/x
  3. Step 3: Cross multiply
    9,205.52x = 12,702.42 × 5,227.00
  4. Step 4: Simplify right side
    9,205.52x = 66,395,517.58
  5. Step 5: Solve for x
    x = 66,395,517.58/9,205.52
  6. Step 6: Final answer
    x = 7,212.58

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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.