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Finding the Fourth Proportional to 6,422.99, 9,634.49 and 4,203.70

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Solution

The fourth proportional to 6,422.99, 9,634.49 and 4,203.70 is: 6,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.99 : 9,634.49 = 4,203.70 : x
  2. Step 2: Convert to fraction form
    6,422.99/9,634.49 = 4,203.70/x
  3. Step 3: Cross multiply
    6,422.99x = 9,634.49 × 4,203.70
  4. Step 4: Simplify right side
    6,422.99x = 40,500,505.61
  5. Step 5: Solve for x
    x = 40,500,505.61/6,422.99
  6. Step 6: Final answer
    x = 6,305.55

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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.