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Finding the Fourth Proportional to 6,412.37, 9,599.85 and 3,939.66

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Solution

The fourth proportional to 6,412.37, 9,599.85 and 3,939.66 is: 5,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.37 : 9,599.85 = 3,939.66 : x
  2. Step 2: Convert to fraction form
    6,412.37/9,599.85 = 3,939.66/x
  3. Step 3: Cross multiply
    6,412.37x = 9,599.85 × 3,939.66
  4. Step 4: Simplify right side
    6,412.37x = 37,820,145.05
  5. Step 5: Solve for x
    x = 37,820,145.05/6,412.37
  6. Step 6: Final answer
    x = 5,898.00

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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.