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Finding the Fourth Proportional to 9,199.14, 12,697.20 and 5,843.58

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Solution

The fourth proportional to 9,199.14, 12,697.20 and 5,843.58 is: 8,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.14 : 12,697.20 = 5,843.58 : x
  2. Step 2: Convert to fraction form
    9,199.14/12,697.20 = 5,843.58/x
  3. Step 3: Cross multiply
    9,199.14x = 12,697.20 × 5,843.58
  4. Step 4: Simplify right side
    9,199.14x = 74,197,103.98
  5. Step 5: Solve for x
    x = 74,197,103.98/9,199.14
  6. Step 6: Final answer
    x = 8,065.66

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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.