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Finding the Fourth Proportional to 6,296.67, 9,434.07 and 4,418.58

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Solution

The fourth proportional to 6,296.67, 9,434.07 and 4,418.58 is: 6,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.67 : 9,434.07 = 4,418.58 : x
  2. Step 2: Convert to fraction form
    6,296.67/9,434.07 = 4,418.58/x
  3. Step 3: Cross multiply
    6,296.67x = 9,434.07 × 4,418.58
  4. Step 4: Simplify right side
    6,296.67x = 41,685,193.02
  5. Step 5: Solve for x
    x = 41,685,193.02/6,296.67
  6. Step 6: Final answer
    x = 6,620.20

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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.