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Finding the Fourth Proportional to 6,526.69, 9,007.29 and 3,694.08

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Solution

The fourth proportional to 6,526.69, 9,007.29 and 3,694.08 is: 5,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.69 : 9,007.29 = 3,694.08 : x
  2. Step 2: Convert to fraction form
    6,526.69/9,007.29 = 3,694.08/x
  3. Step 3: Cross multiply
    6,526.69x = 9,007.29 × 3,694.08
  4. Step 4: Simplify right side
    6,526.69x = 33,273,649.84
  5. Step 5: Solve for x
    x = 33,273,649.84/6,526.69
  6. Step 6: Final answer
    x = 5,098.09

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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.