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Finding the Fourth Proportional to 6,074.73, 9,102.51 and 4,423.68

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Solution

The fourth proportional to 6,074.73, 9,102.51 and 4,423.68 is: 6,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.73 : 9,102.51 = 4,423.68 : x
  2. Step 2: Convert to fraction form
    6,074.73/9,102.51 = 4,423.68/x
  3. Step 3: Cross multiply
    6,074.73x = 9,102.51 × 4,423.68
  4. Step 4: Simplify right side
    6,074.73x = 40,266,591.44
  5. Step 5: Solve for x
    x = 40,266,591.44/6,074.73
  6. Step 6: Final answer
    x = 6,628.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.