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Finding the Fourth Proportional to 6,569.28, 9,065.23 and 3,736.26

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Solution

The fourth proportional to 6,569.28, 9,065.23 and 3,736.26 is: 5,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.28 : 9,065.23 = 3,736.26 : x
  2. Step 2: Convert to fraction form
    6,569.28/9,065.23 = 3,736.26/x
  3. Step 3: Cross multiply
    6,569.28x = 9,065.23 × 3,736.26
  4. Step 4: Simplify right side
    6,569.28x = 33,870,046.90
  5. Step 5: Solve for x
    x = 33,870,046.90/6,569.28
  6. Step 6: Final answer
    x = 5,155.82

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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.