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Finding the Fourth Proportional to 6,620.46, 9,136.71 and 4,378.46

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Solution

The fourth proportional to 6,620.46, 9,136.71 and 4,378.46 is: 6,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.46 : 9,136.71 = 4,378.46 : x
  2. Step 2: Convert to fraction form
    6,620.46/9,136.71 = 4,378.46/x
  3. Step 3: Cross multiply
    6,620.46x = 9,136.71 × 4,378.46
  4. Step 4: Simplify right side
    6,620.46x = 40,004,719.27
  5. Step 5: Solve for x
    x = 40,004,719.27/6,620.46
  6. Step 6: Final answer
    x = 6,042.59

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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.