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Finding the Fourth Proportional to 6,433.58, 8,872.40 and 4,194.34

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Solution

The fourth proportional to 6,433.58, 8,872.40 and 4,194.34 is: 5,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.58 : 8,872.40 = 4,194.34 : x
  2. Step 2: Convert to fraction form
    6,433.58/8,872.40 = 4,194.34/x
  3. Step 3: Cross multiply
    6,433.58x = 8,872.40 × 4,194.34
  4. Step 4: Simplify right side
    6,433.58x = 37,213,850.52
  5. Step 5: Solve for x
    x = 37,213,850.52/6,433.58
  6. Step 6: Final answer
    x = 5,784.31

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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.