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Finding the Fourth Proportional to 6,526.82, 9,007.46 and 3,694.20

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Solution

The fourth proportional to 6,526.82, 9,007.46 and 3,694.20 is: 5,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.82 : 9,007.46 = 3,694.20 : x
  2. Step 2: Convert to fraction form
    6,526.82/9,007.46 = 3,694.20/x
  3. Step 3: Cross multiply
    6,526.82x = 9,007.46 × 3,694.20
  4. Step 4: Simplify right side
    6,526.82x = 33,275,295.22
  5. Step 5: Solve for x
    x = 33,275,295.22/6,526.82
  6. Step 6: Final answer
    x = 5,098.24

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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.