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Finding the Fourth Proportional to 6,513.57, 9,773.82 and 3,226.68

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Solution

The fourth proportional to 6,513.57, 9,773.82 and 3,226.68 is: 4,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.57 : 9,773.82 = 3,226.68 : x
  2. Step 2: Convert to fraction form
    6,513.57/9,773.82 = 3,226.68/x
  3. Step 3: Cross multiply
    6,513.57x = 9,773.82 × 3,226.68
  4. Step 4: Simplify right side
    6,513.57x = 31,536,989.52
  5. Step 5: Solve for x
    x = 31,536,989.52/6,513.57
  6. Step 6: Final answer
    x = 4,841.74

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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.