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Finding the Fourth Proportional to 6,335.39, 9,503.10 and 3,736.50

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Solution

The fourth proportional to 6,335.39, 9,503.10 and 3,736.50 is: 5,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.39 : 9,503.10 = 3,736.50 : x
  2. Step 2: Convert to fraction form
    6,335.39/9,503.10 = 3,736.50/x
  3. Step 3: Cross multiply
    6,335.39x = 9,503.10 × 3,736.50
  4. Step 4: Simplify right side
    6,335.39x = 35,508,333.15
  5. Step 5: Solve for x
    x = 35,508,333.15/6,335.39
  6. Step 6: Final answer
    x = 5,604.76

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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.