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Finding the Fourth Proportional to 9,636.92, 14,458.10 and 3,398.50

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Solution

The fourth proportional to 9,636.92, 14,458.10 and 3,398.50 is: 5,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.92 : 14,458.10 = 3,398.50 : x
  2. Step 2: Convert to fraction form
    9,636.92/14,458.10 = 3,398.50/x
  3. Step 3: Cross multiply
    9,636.92x = 14,458.10 × 3,398.50
  4. Step 4: Simplify right side
    9,636.92x = 49,135,852.85
  5. Step 5: Solve for x
    x = 49,135,852.85/9,636.92
  6. Step 6: Final answer
    x = 5,098.71

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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.