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Finding the Fourth Proportional to 6,414.12, 9,620.64 and 2,031.48

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Solution

The fourth proportional to 6,414.12, 9,620.64 and 2,031.48 is: 3,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.12 : 9,620.64 = 2,031.48 : x
  2. Step 2: Convert to fraction form
    6,414.12/9,620.64 = 2,031.48/x
  3. Step 3: Cross multiply
    6,414.12x = 9,620.64 × 2,031.48
  4. Step 4: Simplify right side
    6,414.12x = 19,544,137.75
  5. Step 5: Solve for x
    x = 19,544,137.75/6,414.12
  6. Step 6: Final answer
    x = 3,047.05

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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.