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Finding the Fourth Proportional to 6,684.72, 9,219.76 and 4,029.36

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Solution

The fourth proportional to 6,684.72, 9,219.76 and 4,029.36 is: 5,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.72 : 9,219.76 = 4,029.36 : x
  2. Step 2: Convert to fraction form
    6,684.72/9,219.76 = 4,029.36/x
  3. Step 3: Cross multiply
    6,684.72x = 9,219.76 × 4,029.36
  4. Step 4: Simplify right side
    6,684.72x = 37,149,732.15
  5. Step 5: Solve for x
    x = 37,149,732.15/6,684.72
  6. Step 6: Final answer
    x = 5,557.41

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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.