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Finding the Fourth Proportional to 6,529.56, 9,006.82 and 3,876.40

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Solution

The fourth proportional to 6,529.56, 9,006.82 and 3,876.40 is: 5,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.56 : 9,006.82 = 3,876.40 : x
  2. Step 2: Convert to fraction form
    6,529.56/9,006.82 = 3,876.40/x
  3. Step 3: Cross multiply
    6,529.56x = 9,006.82 × 3,876.40
  4. Step 4: Simplify right side
    6,529.56x = 34,914,037.05
  5. Step 5: Solve for x
    x = 34,914,037.05/6,529.56
  6. Step 6: Final answer
    x = 5,347.07

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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.