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Finding the Fourth Proportional to 8,202.36, 12,292.10 and 6,199.40

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Solution

The fourth proportional to 8,202.36, 12,292.10 and 6,199.40 is: 9,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.36 : 12,292.10 = 6,199.40 : x
  2. Step 2: Convert to fraction form
    8,202.36/12,292.10 = 6,199.40/x
  3. Step 3: Cross multiply
    8,202.36x = 12,292.10 × 6,199.40
  4. Step 4: Simplify right side
    8,202.36x = 76,203,644.47
  5. Step 5: Solve for x
    x = 76,203,644.47/8,202.36
  6. Step 6: Final answer
    x = 9,290.46

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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.