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Finding the Fourth Proportional to 6,414.66, 9,617.13 and 2,029.59

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Solution

The fourth proportional to 6,414.66, 9,617.13 and 2,029.59 is: 3,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.66 : 9,617.13 = 2,029.59 : x
  2. Step 2: Convert to fraction form
    6,414.66/9,617.13 = 2,029.59/x
  3. Step 3: Cross multiply
    6,414.66x = 9,617.13 × 2,029.59
  4. Step 4: Simplify right side
    6,414.66x = 19,518,830.88
  5. Step 5: Solve for x
    x = 19,518,830.88/6,414.66
  6. Step 6: Final answer
    x = 3,042.85

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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.