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Finding the Fourth Proportional to 6,504.44, 9,737.62 and 4,031.80

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Solution

The fourth proportional to 6,504.44, 9,737.62 and 4,031.80 is: 6,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.44 : 9,737.62 = 4,031.80 : x
  2. Step 2: Convert to fraction form
    6,504.44/9,737.62 = 4,031.80/x
  3. Step 3: Cross multiply
    6,504.44x = 9,737.62 × 4,031.80
  4. Step 4: Simplify right side
    6,504.44x = 39,260,136.32
  5. Step 5: Solve for x
    x = 39,260,136.32/6,504.44
  6. Step 6: Final answer
    x = 6,035.90

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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.