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Finding the Fourth Proportional to 6,529.35, 9,011.64 and 3,878.22

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Solution

The fourth proportional to 6,529.35, 9,011.64 and 3,878.22 is: 5,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.35 : 9,011.64 = 3,878.22 : x
  2. Step 2: Convert to fraction form
    6,529.35/9,011.64 = 3,878.22/x
  3. Step 3: Cross multiply
    6,529.35x = 9,011.64 × 3,878.22
  4. Step 4: Simplify right side
    6,529.35x = 34,949,122.48
  5. Step 5: Solve for x
    x = 34,949,122.48/6,529.35
  6. Step 6: Final answer
    x = 5,352.62

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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.