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Finding the Fourth Proportional to 6,406.90, 9,608.81 and 3,285.29

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Solution

The fourth proportional to 6,406.90, 9,608.81 and 3,285.29 is: 4,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.90 : 9,608.81 = 3,285.29 : x
  2. Step 2: Convert to fraction form
    6,406.90/9,608.81 = 3,285.29/x
  3. Step 3: Cross multiply
    6,406.90x = 9,608.81 × 3,285.29
  4. Step 4: Simplify right side
    6,406.90x = 31,567,727.40
  5. Step 5: Solve for x
    x = 31,567,727.40/6,406.90
  6. Step 6: Final answer
    x = 4,927.15

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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.