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Finding the Fourth Proportional to 9,727.74, 13,424.94 and 5,536.26

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Solution

The fourth proportional to 9,727.74, 13,424.94 and 5,536.26 is: 7,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.74 : 13,424.94 = 5,536.26 : x
  2. Step 2: Convert to fraction form
    9,727.74/13,424.94 = 5,536.26/x
  3. Step 3: Cross multiply
    9,727.74x = 13,424.94 × 5,536.26
  4. Step 4: Simplify right side
    9,727.74x = 74,323,958.32
  5. Step 5: Solve for x
    x = 74,323,958.32/9,727.74
  6. Step 6: Final answer
    x = 7,640.41

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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.