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Finding the Fourth Proportional to 6,488.69, 9,729.96 and 3,365.57

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Solution

The fourth proportional to 6,488.69, 9,729.96 and 3,365.57 is: 5,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.69 : 9,729.96 = 3,365.57 : x
  2. Step 2: Convert to fraction form
    6,488.69/9,729.96 = 3,365.57/x
  3. Step 3: Cross multiply
    6,488.69x = 9,729.96 × 3,365.57
  4. Step 4: Simplify right side
    6,488.69x = 32,746,885.80
  5. Step 5: Solve for x
    x = 32,746,885.80/6,488.69
  6. Step 6: Final answer
    x = 5,046.76

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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.