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Finding the Fourth Proportional to 6,284.72, 9,426.80 and 2,586

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Solution

The fourth proportional to 6,284.72, 9,426.80 and 2,586 is: 3,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.72 : 9,426.80 = 2,586 : x
  2. Step 2: Convert to fraction form
    6,284.72/9,426.80 = 2,586/x
  3. Step 3: Cross multiply
    6,284.72x = 9,426.80 × 2,586
  4. Step 4: Simplify right side
    6,284.72x = 24,377,704.80
  5. Step 5: Solve for x
    x = 24,377,704.80/6,284.72
  6. Step 6: Final answer
    x = 3,878.88

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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.