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Finding the Fourth Proportional to 6,287.16, 9,416.36 and 3,002.56

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Solution

The fourth proportional to 6,287.16, 9,416.36 and 3,002.56 is: 4,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.16 : 9,416.36 = 3,002.56 : x
  2. Step 2: Convert to fraction form
    6,287.16/9,416.36 = 3,002.56/x
  3. Step 3: Cross multiply
    6,287.16x = 9,416.36 × 3,002.56
  4. Step 4: Simplify right side
    6,287.16x = 28,273,185.88
  5. Step 5: Solve for x
    x = 28,273,185.88/6,287.16
  6. Step 6: Final answer
    x = 4,496.97

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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.