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Finding the Fourth Proportional to 6,445.46, 8,894.81 and 3,927.24

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Solution

The fourth proportional to 6,445.46, 8,894.81 and 3,927.24 is: 5,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.46 : 8,894.81 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    6,445.46/8,894.81 = 3,927.24/x
  3. Step 3: Cross multiply
    6,445.46x = 8,894.81 × 3,927.24
  4. Step 4: Simplify right side
    6,445.46x = 34,932,063.44
  5. Step 5: Solve for x
    x = 34,932,063.44/6,445.46
  6. Step 6: Final answer
    x = 5,419.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.