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Finding the Fourth Proportional to 6,432.39, 9,653.22 and 2,735.64

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Solution

The fourth proportional to 6,432.39, 9,653.22 and 2,735.64 is: 4,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.39 : 9,653.22 = 2,735.64 : x
  2. Step 2: Convert to fraction form
    6,432.39/9,653.22 = 2,735.64/x
  3. Step 3: Cross multiply
    6,432.39x = 9,653.22 × 2,735.64
  4. Step 4: Simplify right side
    6,432.39x = 26,407,734.76
  5. Step 5: Solve for x
    x = 26,407,734.76/6,432.39
  6. Step 6: Final answer
    x = 4,105.43

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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.