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Finding the Fourth Proportional to 6,404.04, 9,608.49 and 2,511.18

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Solution

The fourth proportional to 6,404.04, 9,608.49 and 2,511.18 is: 3,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.04 : 9,608.49 = 2,511.18 : x
  2. Step 2: Convert to fraction form
    6,404.04/9,608.49 = 2,511.18/x
  3. Step 3: Cross multiply
    6,404.04x = 9,608.49 × 2,511.18
  4. Step 4: Simplify right side
    6,404.04x = 24,128,647.92
  5. Step 5: Solve for x
    x = 24,128,647.92/6,404.04
  6. Step 6: Final answer
    x = 3,767.72

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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.