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Finding the Fourth Proportional to 6,424.12, 9,636.13 and 3,305

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Solution

The fourth proportional to 6,424.12, 9,636.13 and 3,305 is: 4,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.12 : 9,636.13 = 3,305 : x
  2. Step 2: Convert to fraction form
    6,424.12/9,636.13 = 3,305/x
  3. Step 3: Cross multiply
    6,424.12x = 9,636.13 × 3,305
  4. Step 4: Simplify right side
    6,424.12x = 31,847,409.65
  5. Step 5: Solve for x
    x = 31,847,409.65/6,424.12
  6. Step 6: Final answer
    x = 4,957.47

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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.