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Finding the Fourth Proportional to 6,465.43, 9,701.82 and 2,767.33

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Solution

The fourth proportional to 6,465.43, 9,701.82 and 2,767.33 is: 4,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.43 : 9,701.82 = 2,767.33 : x
  2. Step 2: Convert to fraction form
    6,465.43/9,701.82 = 2,767.33/x
  3. Step 3: Cross multiply
    6,465.43x = 9,701.82 × 2,767.33
  4. Step 4: Simplify right side
    6,465.43x = 26,848,137.54
  5. Step 5: Solve for x
    x = 26,848,137.54/6,465.43
  6. Step 6: Final answer
    x = 4,152.57

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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.