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Finding the Fourth Proportional to 6,527.32, 9,006.14 and 3,732.12

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Solution

The fourth proportional to 6,527.32, 9,006.14 and 3,732.12 is: 5,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.32 : 9,006.14 = 3,732.12 : x
  2. Step 2: Convert to fraction form
    6,527.32/9,006.14 = 3,732.12/x
  3. Step 3: Cross multiply
    6,527.32x = 9,006.14 × 3,732.12
  4. Step 4: Simplify right side
    6,527.32x = 33,611,995.22
  5. Step 5: Solve for x
    x = 33,611,995.22/6,527.32
  6. Step 6: Final answer
    x = 5,149.43

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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.