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Finding the Fourth Proportional to 6,282.25, 9,427.70 and 2,178.25

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Solution

The fourth proportional to 6,282.25, 9,427.70 and 2,178.25 is: 3,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.25 : 9,427.70 = 2,178.25 : x
  2. Step 2: Convert to fraction form
    6,282.25/9,427.70 = 2,178.25/x
  3. Step 3: Cross multiply
    6,282.25x = 9,427.70 × 2,178.25
  4. Step 4: Simplify right side
    6,282.25x = 20,535,876.63
  5. Step 5: Solve for x
    x = 20,535,876.63/6,282.25
  6. Step 6: Final answer
    x = 3,268.87

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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.