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Finding the Fourth Proportional to 9,678.62, 14,520.30 and 3,105.44

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Solution

The fourth proportional to 9,678.62, 14,520.30 and 3,105.44 is: 4,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.62 : 14,520.30 = 3,105.44 : x
  2. Step 2: Convert to fraction form
    9,678.62/14,520.30 = 3,105.44/x
  3. Step 3: Cross multiply
    9,678.62x = 14,520.30 × 3,105.44
  4. Step 4: Simplify right side
    9,678.62x = 45,091,920.43
  5. Step 5: Solve for x
    x = 45,091,920.43/9,678.62
  6. Step 6: Final answer
    x = 4,658.92

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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.