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Finding the Fourth Proportional to 6,282.88, 9,427.38 and 2,586.22

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Solution

The fourth proportional to 6,282.88, 9,427.38 and 2,586.22 is: 3,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.88 : 9,427.38 = 2,586.22 : x
  2. Step 2: Convert to fraction form
    6,282.88/9,427.38 = 2,586.22/x
  3. Step 3: Cross multiply
    6,282.88x = 9,427.38 × 2,586.22
  4. Step 4: Simplify right side
    6,282.88x = 24,381,278.70
  5. Step 5: Solve for x
    x = 24,381,278.70/6,282.88
  6. Step 6: Final answer
    x = 3,880.59

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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.