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Finding the Fourth Proportional to 6,282.72, 9,420.84 and 2,817

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Solution

The fourth proportional to 6,282.72, 9,420.84 and 2,817 is: 4,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.72 : 9,420.84 = 2,817 : x
  2. Step 2: Convert to fraction form
    6,282.72/9,420.84 = 2,817/x
  3. Step 3: Cross multiply
    6,282.72x = 9,420.84 × 2,817
  4. Step 4: Simplify right side
    6,282.72x = 26,538,506.28
  5. Step 5: Solve for x
    x = 26,538,506.28/6,282.72
  6. Step 6: Final answer
    x = 4,224.05

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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.