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Finding the Fourth Proportional to 6,412.68, 9,618.05 and 2,029.57

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Solution

The fourth proportional to 6,412.68, 9,618.05 and 2,029.57 is: 3,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.68 : 9,618.05 = 2,029.57 : x
  2. Step 2: Convert to fraction form
    6,412.68/9,618.05 = 2,029.57/x
  3. Step 3: Cross multiply
    6,412.68x = 9,618.05 × 2,029.57
  4. Step 4: Simplify right side
    6,412.68x = 19,520,457.65
  5. Step 5: Solve for x
    x = 19,520,457.65/6,412.68
  6. Step 6: Final answer
    x = 3,044.04

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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.