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Finding the Fourth Proportional to 6,473.48, 9,689.33 and 3,349.19

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Solution

The fourth proportional to 6,473.48, 9,689.33 and 3,349.19 is: 5,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.48 : 9,689.33 = 3,349.19 : x
  2. Step 2: Convert to fraction form
    6,473.48/9,689.33 = 3,349.19/x
  3. Step 3: Cross multiply
    6,473.48x = 9,689.33 × 3,349.19
  4. Step 4: Simplify right side
    6,473.48x = 32,451,358.70
  5. Step 5: Solve for x
    x = 32,451,358.70/6,473.48
  6. Step 6: Final answer
    x = 5,012.97

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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.