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Finding the Fourth Proportional to 6,528.96, 9,012.24 and 3,878.64

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Solution

The fourth proportional to 6,528.96, 9,012.24 and 3,878.64 is: 5,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.96 : 9,012.24 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    6,528.96/9,012.24 = 3,878.64/x
  3. Step 3: Cross multiply
    6,528.96x = 9,012.24 × 3,878.64
  4. Step 4: Simplify right side
    6,528.96x = 34,955,234.55
  5. Step 5: Solve for x
    x = 34,955,234.55/6,528.96
  6. Step 6: Final answer
    x = 5,353.87

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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.