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Finding the Fourth Proportional to 6,456.98, 9,661.01 and 3,825.90

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Solution

The fourth proportional to 6,456.98, 9,661.01 and 3,825.90 is: 5,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.98 : 9,661.01 = 3,825.90 : x
  2. Step 2: Convert to fraction form
    6,456.98/9,661.01 = 3,825.90/x
  3. Step 3: Cross multiply
    6,456.98x = 9,661.01 × 3,825.90
  4. Step 4: Simplify right side
    6,456.98x = 36,962,039.03
  5. Step 5: Solve for x
    x = 36,962,039.03/6,456.98
  6. Step 6: Final answer
    x = 5,724.35

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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.