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Finding the Fourth Proportional to 6,269.48, 9,414.30 and 5,301.80

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Solution

The fourth proportional to 6,269.48, 9,414.30 and 5,301.80 is: 7,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.48 : 9,414.30 = 5,301.80 : x
  2. Step 2: Convert to fraction form
    6,269.48/9,414.30 = 5,301.80/x
  3. Step 3: Cross multiply
    6,269.48x = 9,414.30 × 5,301.80
  4. Step 4: Simplify right side
    6,269.48x = 49,912,735.74
  5. Step 5: Solve for x
    x = 49,912,735.74/6,269.48
  6. Step 6: Final answer
    x = 7,961.22

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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.