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Finding the Fourth Proportional to 6,523.80, 9,778.32 and 3,239.16

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Solution

The fourth proportional to 6,523.80, 9,778.32 and 3,239.16 is: 4,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.80 : 9,778.32 = 3,239.16 : x
  2. Step 2: Convert to fraction form
    6,523.80/9,778.32 = 3,239.16/x
  3. Step 3: Cross multiply
    6,523.80x = 9,778.32 × 3,239.16
  4. Step 4: Simplify right side
    6,523.80x = 31,673,543.01
  5. Step 5: Solve for x
    x = 31,673,543.01/6,523.80
  6. Step 6: Final answer
    x = 4,855.08

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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.