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Finding the Fourth Proportional to 6,409.41, 9,617.54 and 2,513.85

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Solution

The fourth proportional to 6,409.41, 9,617.54 and 2,513.85 is: 3,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.41 : 9,617.54 = 2,513.85 : x
  2. Step 2: Convert to fraction form
    6,409.41/9,617.54 = 2,513.85/x
  3. Step 3: Cross multiply
    6,409.41x = 9,617.54 × 2,513.85
  4. Step 4: Simplify right side
    6,409.41x = 24,177,040.36
  5. Step 5: Solve for x
    x = 24,177,040.36/6,409.41
  6. Step 6: Final answer
    x = 3,772.12

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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.