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Finding the Fourth Proportional to 6,022.76, 9,034.14 and 4,493.48

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Solution

The fourth proportional to 6,022.76, 9,034.14 and 4,493.48 is: 6,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.76 : 9,034.14 = 4,493.48 : x
  2. Step 2: Convert to fraction form
    6,022.76/9,034.14 = 4,493.48/x
  3. Step 3: Cross multiply
    6,022.76x = 9,034.14 × 4,493.48
  4. Step 4: Simplify right side
    6,022.76x = 40,594,727.41
  5. Step 5: Solve for x
    x = 40,594,727.41/6,022.76
  6. Step 6: Final answer
    x = 6,740.22

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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.