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Finding the Fourth Proportional to 6,763.20, 9,336.09 and 4,111.46

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Solution

The fourth proportional to 6,763.20, 9,336.09 and 4,111.46 is: 5,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.20 : 9,336.09 = 4,111.46 : x
  2. Step 2: Convert to fraction form
    6,763.20/9,336.09 = 4,111.46/x
  3. Step 3: Cross multiply
    6,763.20x = 9,336.09 × 4,111.46
  4. Step 4: Simplify right side
    6,763.20x = 38,384,913.91
  5. Step 5: Solve for x
    x = 38,384,913.91/6,763.20
  6. Step 6: Final answer
    x = 5,675.56

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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.