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Finding the Fourth Proportional to 6,422.85, 9,618.89 and 3,294.63

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Solution

The fourth proportional to 6,422.85, 9,618.89 and 3,294.63 is: 4,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.85 : 9,618.89 = 3,294.63 : x
  2. Step 2: Convert to fraction form
    6,422.85/9,618.89 = 3,294.63/x
  3. Step 3: Cross multiply
    6,422.85x = 9,618.89 × 3,294.63
  4. Step 4: Simplify right side
    6,422.85x = 31,690,667.09
  5. Step 5: Solve for x
    x = 31,690,667.09/6,422.85
  6. Step 6: Final answer
    x = 4,934.05

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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.