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Finding the Fourth Proportional to 6,406.18, 9,608.46 and 2,513.32

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Solution

The fourth proportional to 6,406.18, 9,608.46 and 2,513.32 is: 3,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.18 : 9,608.46 = 2,513.32 : x
  2. Step 2: Convert to fraction form
    6,406.18/9,608.46 = 2,513.32/x
  3. Step 3: Cross multiply
    6,406.18x = 9,608.46 × 2,513.32
  4. Step 4: Simplify right side
    6,406.18x = 24,149,134.69
  5. Step 5: Solve for x
    x = 24,149,134.69/6,406.18
  6. Step 6: Final answer
    x = 3,769.66

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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.