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Finding the Fourth Proportional to 6,409.26, 9,614.76 and 2,248.29

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Solution

The fourth proportional to 6,409.26, 9,614.76 and 2,248.29 is: 3,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.26 : 9,614.76 = 2,248.29 : x
  2. Step 2: Convert to fraction form
    6,409.26/9,614.76 = 2,248.29/x
  3. Step 3: Cross multiply
    6,409.26x = 9,614.76 × 2,248.29
  4. Step 4: Simplify right side
    6,409.26x = 21,616,768.76
  5. Step 5: Solve for x
    x = 21,616,768.76/6,409.26
  6. Step 6: Final answer
    x = 3,372.74

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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.