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Finding the Fourth Proportional to 7,054.37, 9,736.07 and 4,069.62

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Solution

The fourth proportional to 7,054.37, 9,736.07 and 4,069.62 is: 5,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.37 : 9,736.07 = 4,069.62 : x
  2. Step 2: Convert to fraction form
    7,054.37/9,736.07 = 4,069.62/x
  3. Step 3: Cross multiply
    7,054.37x = 9,736.07 × 4,069.62
  4. Step 4: Simplify right side
    7,054.37x = 39,622,105.19
  5. Step 5: Solve for x
    x = 39,622,105.19/7,054.37
  6. Step 6: Final answer
    x = 5,616.68

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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.