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Finding the Fourth Proportional to 5,946.88, 8,933.99 and 4,195.91

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Solution

The fourth proportional to 5,946.88, 8,933.99 and 4,195.91 is: 6,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.88 : 8,933.99 = 4,195.91 : x
  2. Step 2: Convert to fraction form
    5,946.88/8,933.99 = 4,195.91/x
  3. Step 3: Cross multiply
    5,946.88x = 8,933.99 × 4,195.91
  4. Step 4: Simplify right side
    5,946.88x = 37,486,217.98
  5. Step 5: Solve for x
    x = 37,486,217.98/5,946.88
  6. Step 6: Final answer
    x = 6,303.51

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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.