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Finding the Fourth Proportional to 6,328.50, 8,733.87 and 3,534.54

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Solution

The fourth proportional to 6,328.50, 8,733.87 and 3,534.54 is: 4,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.50 : 8,733.87 = 3,534.54 : x
  2. Step 2: Convert to fraction form
    6,328.50/8,733.87 = 3,534.54/x
  3. Step 3: Cross multiply
    6,328.50x = 8,733.87 × 3,534.54
  4. Step 4: Simplify right side
    6,328.50x = 30,870,212.87
  5. Step 5: Solve for x
    x = 30,870,212.87/6,328.50
  6. Step 6: Final answer
    x = 4,877.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.