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Finding the Fourth Proportional to 6,439.08, 9,657.48 and 1,821

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Solution

The fourth proportional to 6,439.08, 9,657.48 and 1,821 is: 2,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.08 : 9,657.48 = 1,821 : x
  2. Step 2: Convert to fraction form
    6,439.08/9,657.48 = 1,821/x
  3. Step 3: Cross multiply
    6,439.08x = 9,657.48 × 1,821
  4. Step 4: Simplify right side
    6,439.08x = 17,586,271.08
  5. Step 5: Solve for x
    x = 17,586,271.08/6,439.08
  6. Step 6: Final answer
    x = 2,731.18

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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.