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Finding the Fourth Proportional to 9,358.44, 12,908.62 and 6,170.82

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Solution

The fourth proportional to 9,358.44, 12,908.62 and 6,170.82 is: 8,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.44 : 12,908.62 = 6,170.82 : x
  2. Step 2: Convert to fraction form
    9,358.44/12,908.62 = 6,170.82/x
  3. Step 3: Cross multiply
    9,358.44x = 12,908.62 × 6,170.82
  4. Step 4: Simplify right side
    9,358.44x = 79,656,770.47
  5. Step 5: Solve for x
    x = 79,656,770.47/9,358.44
  6. Step 6: Final answer
    x = 8,511.76

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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.