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Finding the Fourth Proportional to 6,412.68, 9,620.46 and 2,029.74

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Solution

The fourth proportional to 6,412.68, 9,620.46 and 2,029.74 is: 3,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.68 : 9,620.46 = 2,029.74 : x
  2. Step 2: Convert to fraction form
    6,412.68/9,620.46 = 2,029.74/x
  3. Step 3: Cross multiply
    6,412.68x = 9,620.46 × 2,029.74
  4. Step 4: Simplify right side
    6,412.68x = 19,527,032.48
  5. Step 5: Solve for x
    x = 19,527,032.48/6,412.68
  6. Step 6: Final answer
    x = 3,045.07

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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.