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Finding the Fourth Proportional to 6,287.33, 9,416.61 and 3,002.74

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Solution

The fourth proportional to 6,287.33, 9,416.61 and 3,002.74 is: 4,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.33 : 9,416.61 = 3,002.74 : x
  2. Step 2: Convert to fraction form
    6,287.33/9,416.61 = 3,002.74/x
  3. Step 3: Cross multiply
    6,287.33x = 9,416.61 × 3,002.74
  4. Step 4: Simplify right side
    6,287.33x = 28,275,607.97
  5. Step 5: Solve for x
    x = 28,275,607.97/6,287.33
  6. Step 6: Final answer
    x = 4,497.23

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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.