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Finding the Fourth Proportional to 6,231.76, 9,341.87 and 3,269.59

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Solution

The fourth proportional to 6,231.76, 9,341.87 and 3,269.59 is: 4,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.76 : 9,341.87 = 3,269.59 : x
  2. Step 2: Convert to fraction form
    6,231.76/9,341.87 = 3,269.59/x
  3. Step 3: Cross multiply
    6,231.76x = 9,341.87 × 3,269.59
  4. Step 4: Simplify right side
    6,231.76x = 30,544,045.03
  5. Step 5: Solve for x
    x = 30,544,045.03/6,231.76
  6. Step 6: Final answer
    x = 4,901.35

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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.