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Finding the Fourth Proportional to 6,202.82, 9,308.28 and 5,702.24

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Solution

The fourth proportional to 6,202.82, 9,308.28 and 5,702.24 is: 8,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.82 : 9,308.28 = 5,702.24 : x
  2. Step 2: Convert to fraction form
    6,202.82/9,308.28 = 5,702.24/x
  3. Step 3: Cross multiply
    6,202.82x = 9,308.28 × 5,702.24
  4. Step 4: Simplify right side
    6,202.82x = 53,078,046.55
  5. Step 5: Solve for x
    x = 53,078,046.55/6,202.82
  6. Step 6: Final answer
    x = 8,557.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.