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Finding the Fourth Proportional to 6,766.45, 9,340.58 and 4,114.71

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Solution

The fourth proportional to 6,766.45, 9,340.58 and 4,114.71 is: 5,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.45 : 9,340.58 = 4,114.71 : x
  2. Step 2: Convert to fraction form
    6,766.45/9,340.58 = 4,114.71/x
  3. Step 3: Cross multiply
    6,766.45x = 9,340.58 × 4,114.71
  4. Step 4: Simplify right side
    6,766.45x = 38,433,777.93
  5. Step 5: Solve for x
    x = 38,433,777.93/6,766.45
  6. Step 6: Final answer
    x = 5,680.05

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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.