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Finding the Fourth Proportional to 5,946.69, 8,933.72 and 4,195.73

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Solution

The fourth proportional to 5,946.69, 8,933.72 and 4,195.73 is: 6,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.69 : 8,933.72 = 4,195.73 : x
  2. Step 2: Convert to fraction form
    5,946.69/8,933.72 = 4,195.73/x
  3. Step 3: Cross multiply
    5,946.69x = 8,933.72 × 4,195.73
  4. Step 4: Simplify right side
    5,946.69x = 37,483,478.37
  5. Step 5: Solve for x
    x = 37,483,478.37/5,946.69
  6. Step 6: Final answer
    x = 6,303.25

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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.