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Finding the Fourth Proportional to 6,186.75, 9,282.83 and 2,290.11

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Solution

The fourth proportional to 6,186.75, 9,282.83 and 2,290.11 is: 3,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.75 : 9,282.83 = 2,290.11 : x
  2. Step 2: Convert to fraction form
    6,186.75/9,282.83 = 2,290.11/x
  3. Step 3: Cross multiply
    6,186.75x = 9,282.83 × 2,290.11
  4. Step 4: Simplify right side
    6,186.75x = 21,258,690.36
  5. Step 5: Solve for x
    x = 21,258,690.36/6,186.75
  6. Step 6: Final answer
    x = 3,436.16

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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.