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Finding the Fourth Proportional to 6,527.28, 9,003.56 and 3,872.81

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Solution

The fourth proportional to 6,527.28, 9,003.56 and 3,872.81 is: 5,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.28 : 9,003.56 = 3,872.81 : x
  2. Step 2: Convert to fraction form
    6,527.28/9,003.56 = 3,872.81/x
  3. Step 3: Cross multiply
    6,527.28x = 9,003.56 × 3,872.81
  4. Step 4: Simplify right side
    6,527.28x = 34,869,080.35
  5. Step 5: Solve for x
    x = 34,869,080.35/6,527.28
  6. Step 6: Final answer
    x = 5,342.05

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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.