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Finding the Fourth Proportional to 6,282.16, 9,416.62 and 2,118.22

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Solution

The fourth proportional to 6,282.16, 9,416.62 and 2,118.22 is: 3,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.16 : 9,416.62 = 2,118.22 : x
  2. Step 2: Convert to fraction form
    6,282.16/9,416.62 = 2,118.22/x
  3. Step 3: Cross multiply
    6,282.16x = 9,416.62 × 2,118.22
  4. Step 4: Simplify right side
    6,282.16x = 19,946,451.92
  5. Step 5: Solve for x
    x = 19,946,451.92/6,282.16
  6. Step 6: Final answer
    x = 3,175.10

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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.