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Finding the Fourth Proportional to 9,199.48, 12,686.46 and 6,181.42

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Solution

The fourth proportional to 9,199.48, 12,686.46 and 6,181.42 is: 8,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.48 : 12,686.46 = 6,181.42 : x
  2. Step 2: Convert to fraction form
    9,199.48/12,686.46 = 6,181.42/x
  3. Step 3: Cross multiply
    9,199.48x = 12,686.46 × 6,181.42
  4. Step 4: Simplify right side
    9,199.48x = 78,420,337.57
  5. Step 5: Solve for x
    x = 78,420,337.57/9,199.48
  6. Step 6: Final answer
    x = 8,524.43

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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.